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# Selina solutions for Concise Maths Class 10 ICSE chapter 9 - Matrices [Latest edition]

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## Chapter 9: Matrices

Exercise 9 (A)Exercise 9 (B)Exercise 9 (C)Exercise 9 (D)
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Exercise 9 (A)[Page 120]

### Selina solutions for Concise Maths Class 10 ICSE Chapter 9 MatricesExercise 9 (A)[Page 120]

Exercise 9 (A) | Q 1.1 | Page 120

State, whether the following statement is true or false. If false, give a reason.

If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.

• True

• False

Exercise 9 (A) | Q 1.2 | Page 120

State, whether the following statements are true or false. If false, give a reason.

The matrices A2 × 3 and B2 × 3 are conformable for subtraction.

• True

• False

Exercise 9 (A) | Q 1.3 | Page 120

State, whether the following statement is true or false. If false, give a reason.

Transpose of a 2 × 1 matrix is a 2 × 1 matrix.

• True

• False

Exercise 9 (A) | Q 1.4 | Page 120

State, whether the following statements are true or false. If false, give a reason.

Transpose of a square matrix is a square matrix.

• True

• False

Exercise 9 (A) | Q 1.5 | Page 120

State, whether the following statements are true or false. If false, give a reason.

A column matrix has many columns and one row.

• True

• False

Exercise 9 (A) | Q 2 | Page 120

Given [(x, y + 2),(3, z - 1)] = [(3,1),(3,2)], Find x, y, z

Exercise 9 (A) | Q 3.1 | Page 120

Solve for a, b and c if [(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]

Exercise 9 (A) | Q 3.2 | Page 120

Solve for a, b and c if [(a, a- b),(b + c, 0)] = [(3, -1),(2,0)]

Exercise 9 (A) | Q 4.1 | Page 120

If A = [8  -3] and B = [4  -5]; find A + B

Exercise 9 (A) | Q 4.2 | Page 120

If A = [8  -3] and B = [4  -5]; find B - A

Exercise 9 (A) | Q 5.1 | Page 120

If A = [2/5], B = [1/4] and C = [6/-2] Find B + C

Exercise 9 (A) | Q 5.2 | Page 120

If A = [2/5], B = [1/ 4] and c = [6/-2] Find A - C

Exercise 9 (A) | Q 5.3 | Page 120

if A = [(2),(5)], B = [(1),(4)] and C = [(6),(-2)] Find A + B - C

Exercise 9 (A) | Q 5.4 | Page 120

If A = [2/5], B = [1/4] and C =[6/-2], find :

A – B +C

Exercise 9 (A) | Q 6.1 | Page 120

Wherever possible write of the following as a single matrix

[(1, 2),(3, 4)] +[(-1,-2), (1,-7)]

Exercise 9 (A) | Q 6.2 | Page 120

Wherever possible write of the following as a single matrix

[(2,3,4),(5,6,7)] - [(0,2,3),(6,-1,0)]

Exercise 9 (A) | Q 6.3 | Page 120

Wherever possible write of the following as a single matrix

[(0,1,2),(4,6,7)] + [(3,4),(6,8)]

Exercise 9 (A) | Q 7.1 | Page 120

Find x and y from the given equations:

[(5,2),(-1, y - 1)] - [(1, x -1),(2, -3)] = [(4,7),(-3,2)]

Exercise 9 (A) | Q 7.2 | Page 120

Find x and y from the given equations:

[-8 x] + [y -2] = [-3 2]

Exercise 9 (A) | Q 8.1 | Page 120

Given M = [(5, -3),(-2, 4)] Find its transpose matrix M^t. If possible find M + M^t

Exercise 9 (A) | Q 8.2 | Page 120

Given M = [(5, -3),(-2, 4)] find its transpose matrix M^t if possible find M^t - M

Exercise 9 (A) | Q 9 | Page 120

Write the additive inverse of matrices A, B and C Where A = [6, -5]; B = [(-2, 0),(4, -1)] and C = [(-7), (4)]

Exercise 9 (A) | Q 10.1 | Page 120

Given A = [2 -3], B = [0 2] and C = [-1  4]; Find the matrix X in the following:

X + B = C - A

Exercise 9 (A) | Q 10.2 | Page 120

Given A = [2  -3],  B = [0  2] and C = [-1  4]; Find the matrx X in the following

A - X = B + C

Exercise 9 (A) | Q 11.1 | Page 120

Given A = [(-1, 0),(2, -4)] and B = [(3, -3),(-2, 0)] Find the matrix X in the following

A + X = B

Exercise 9 (A) | Q 11.2 | Page 120

Given A = [(-1, 0),(2,0)] and B = [(3, -3),(-2, 0)] find the matrix X in of the following

A- X = B

Exercise 9 (A) | Q 11.3 | Page 120

Given A = [(-1, 0),(2, -4)] and B = [(3, -3),(-2, 0)] Find the matrix X in following

X - B = A

Exercise 9 (B)[Pages 121 - 122]

### Selina solutions for Concise Maths Class 10 ICSE Chapter 9 MatricesExercise 9 (B)[Pages 121 - 122]

Exercise 9 (B) | Q 1.1 | Page 121

Evaluate 3[5  -2]

Exercise 9 (B) | Q 1.2 | Page 121

Evaluate 7[(-1, 2),(0, 1)]

Exercise 9 (B) | Q 1.3 | Page 121

Evaluate :     2[(-1      0)/(2 -3)]  +[(3      3)/(5    0)]

Exercise 9 (B) | Q 1.4 | Page 121

Evaluate 6[(3), (-2)] -2[(-8), (1)]

Exercise 9 (B) | Q 2.1 | Page 121

Find x and y if 3[4  x] + 2[y  -3] = [10   0]

Exercise 9 (B) | Q 2.2 | Page 121

Find x and y if x[(-1), (2)] - 4[(-2), (y)] = [(7),(-8)]

Exercise 9 (B) | Q 3.1 | Page 121

Given A = 2[(2, 1),(3, 0)],-3[(1, 1),(5, 2)] + [(-3, -1),(0,0)] Find 2A - 3B + C

Exercise 9 (B) | Q 3.2 | Page 121

Given A =  2[(2,1),(3,0)]-3[(1,1),(5,2)]+[(-3, -1),(0,0)]: find  A + 2C – B

Exercise 9 (B) | Q 4 | Page 121

If [(4, -2),(4, 0)] + 3A = [(-2,-2),(1, -3)] Find A

Exercise 9 (B) | Q 5.1 | Page 121

Given A = [(1, 4),(2, 3)] and B = |(-4-1),(-3 -2)|

Find the matrix 2A  + B

Exercise 9 (B) | Q 5.2 | Page 121

Given A = [(1   4),(2  3)] and B = [(-4 -1),(-3 -2)] Find the matrix C such that C + B = [(0, 0),(0,0)]

Exercise 9 (B) | Q 6 | Page 122

If 2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)] Find the values of x, y and z.

Exercise 9 (B) | Q 7.1 | Page 122

Given A = [(-3, 6),(0, -9)] and A^t its transpose matrix. Find 2A + 3A^t

Exercise 9 (B) | Q 7.2 | Page 122

Given A = [(-3, 6),(0, -9)] and A^t is its transpose matrix Find 2A^t - 3A

Exercise 9 (B) | Q 7.3 | Page 122

Given A = [(-3, 6),(0, -9)] and A^t is its transpose matrix. Find 1/2 A - 1/3 A^t

Exercise 9 (B) | Q 7.4 | Page 122

Given A = [(-3, 6),(0, -9)] and A^t is its transpose matrix Find A^t - 1/3 A

Exercise 9 (B) | Q 8.1 | Page 122

Given A = [(1, 1),(-2, 0)] and B = [(2, -1),(1, 1)]

Solve for matrix X:

X + 2A = B

Exercise 9 (B) | Q 8.2 | Page 122

Given A = [(1,1),(-2, 0)] and B = [(2, -1), (1, 1)] Solve for matrix X

3X + B + 2A = O

Exercise 9 (B) | Q 8.3 | Page 122

Given A = [(1,1),(-2, 0)] and B = [(2, -1),(1, 1)] Solve for matrix X:

3A - 2X = X - 2B

Exercise 9 (B) | Q 9 | Page 122

If M =  [(0), (1)] and N = [(1),(0)] show that 3M + 5N = [5/3]

Exercise 9 (B) | Q 10.1 | Page 122

If I is the unit matrix of order 2 x 2 Find the matrix M such that M - 2I = 3[(-1, 0),(4, 1)]

Exercise 9 (B) | Q 10.2 | Page 122

If I is the unit matrix of order 2 x 2. Find the matrix M such that

5M + 3I  = 4[(2, -5),(0, -3)]

Exercise 9 (B) | Q 11 | Page 122

If [(1, 4),(-2, 3)] + 2M = 3[(3, 2),(0, -3)], find the matrix M

Exercise 9 (C)[Pages 129 - 131]

### Selina solutions for Concise Maths Class 10 ICSE Chapter 9 MatricesExercise 9 (C)[Pages 129 - 131]

Exercise 9 (C) | Q 1.1 | Page 129

Evaluate if possible [(3 ,2)][(2),(0)]

Exercise 9 (C) | Q 1.2 | Page 129

Evaluate if possible [(1, -2)][(-2, 3),(-1, 4)]

Exercise 9 (C) | Q 1.3 | Page 129

Evaluate if possible [(6, 4),(3, -1)][(-1),(3)]

Exercise 9 (C) | Q 1.4 | Page 129

Evaluate if possible [(6, 4),(3, 1)][-1, 3]

Exercise 9 (C) | Q 2.1 | Page 129

If A = [(0, 2),(5, -2)], B= [(1, -1),(3, 2)] and I is a unit matrix of order 2 x 2 find AB

Exercise 9 (C) | Q 2.2 | Page 129

If A = [(0, 2),(5, -2)], B = [(1, -1),(3, 2)] and I is a unit matrix of order 2 x 2 findb BA

Exercise 9 (C) | Q 2.3 | Page 129

If A = [(0, 2),(5, -2)], B = [(1, -1),(3, 2)] and I is a unit matrix of order 2 x 2. Find AI

Exercise 9 (C) | Q 2.4 | Page 129

If A= [(0, 2),(5, -2)], B = [(1, -1),(3, 2)] and I is unit matrix of order 2 x 2 Find IB

Exercise 9 (C) | Q 2.5 | Page 129

If A = [(0, 2),(5, -2)], B = [(1, -1),(3, 2)] and I is a unit matrix of order 2 x 2 find A^2

Exercise 9 (C) | Q 2.6 | Page 129

If A = [(0, 2),(5, -2)], B = [(1, -1),(3, 2)] and I is unit matrix of order 2 x 2 find B^2A

Exercise 9 (C) | Q 3 | Page 129

If A = [(3,x), (0,1)] and B = [(9,16), (0,-y)], find x and y when A2 = B

Exercise 9 (C) | Q 4.1 | Page 129

Find x and y if [(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]

Exercise 9 (C) | Q 4.2 | Page 129

Find x and y if [(x, 0),(-3, 1)][(1,1),(0, y)] = [(2,2),(-3, -2)]

Exercise 9 (C) | Q 5 | Page 129

If A = [(1, 3),(2, 4)], B = [(1, 2),(4, 3)] and C = [(4, 3),(1, 2)] find

1) (AB)C

2) A(BC)

Is A(BC) = (AB)C?

Exercise 9 (C) | Q 6.1 | Page 129

Given A = [(0, 4, 6),(3, 0, -1)] and B = [(0, 1),(-1, 2),(-5, -6)] find if possible AB

Exercise 9 (C) | Q 6.2 | Page 129

Given A = [(0, 4, 6),(3, 0, -1)] and B = [(0, 1),(-1, 2),(-5, -6)]  find if possible BA

Exercise 9 (C) | Q 6.3 | Page 129

Given A = [(0, 4, 6),(3, 0, 1)][(0, 1),(-1, 2),(-5, -6)] Find if possible A^2

Exercise 9 (C) | Q 7 | Page 129

Let A = [(2,1), (0,-2)], B = [(4,1), (-3,-2)] and C = [(-3,2), (-1,4)] FindA2 + AC -5B

Exercise 9 (C) | Q 8 | Page 129

If M =[(1, 2),(2, 1)] and I is a unit matrix of the same order as that of M Show that M^2 = 2M + 3I

Exercise 9 (C) | Q 9 | Page 129

If A = [(a, 0),(0, 2)], B = [(0, -b),(1, 0)], M = [(1, -1),(1, 1)] and BA = M^2 find the values of a and b.

Exercise 9 (C) | Q 10.1 | Page 129

Given A = [(4, 1),(2,3)] and B = [(1, 0),(-2, 1)] Find A - B

Exercise 9 (C) | Q 10.2 | Page 129

Given A = [(4, 1), (2, 3)] and B = [(1, 0),(-2, 1)] Find A^2

Exercise 9 (C) | Q 10.3 | Page 129

Given A = [(4, 1),(2, 3)] and B = [(1, 0),(-2, 1)] Find AB

Exercise 9 (C) | Q 10.4 | Page 129

Given A = [(4, 1),(2, 3)] and B = [(1, 0),(-2, 1)] Find A^2 - AB + 2B

Exercise 9 (C) | Q 11.1 | Page 129

If A  = [(1, 4), (1, -3)] and B = [(1, 2),(-1, -1)] Find (A + B)^2

Exercise 9 (C) | Q 11.2 | Page 129

If A = [(1, 4),(1, -3)] and B = [(1, 2),(-1, -1)] Find A^2 + B^2

Exercise 9 (C) | Q 11.3 | Page 129

If A= [(1, 4), (1, -3)] and B = [(1, 2),(-1, -1)] Find :  Is (A + B)^2 = A^2 + B^2?

Exercise 9 (C) | Q 12 | Page 130

Find the matrix A, If B =[(2,1),(0,1)] and B^2 = B+1/2A

Exercise 9 (C) | Q 13 | Page 130

If A = [(-1, 1),(a, b)] and A^2 = I; Find a and b

Exercise 9 (C) | Q 14.1 | Page 130

If A = [(2, 1),(0, 0)] , B = [(2, 3),(4, 1)] and C = [(1, 4),(0, 2)] then show that A(B + C) = AB + AC

Exercise 9 (C) | Q 14.2 | Page 130

If A = [(2, 1),(0,0)], B = [(2, 3),(4, 1)] and C = [(1, 4),(0, 2)] then show that (B - A)C = BC - AC

Exercise 9 (C) | Q 15 | Page 130

If A = [(1, 4),(2, 1)], B = [(-3, 2),(4, 0)]] and C = [(1, 0),(0, 2)] Simplify A^2 + BC

Exercise 9 (C) | Q 16.1 | Page 130

Solve for x and y: [(2, 5),(5, 2)][(x),(y)] = [(-7),(14)]

Exercise 9 (C) | Q 16.2 | Page 130

Solve for x and y :

[x+y   x-4] [(-1,-2),(2,2)] = [-7  -11]

Exercise 9 (C) | Q 16.3 | Page 130

Solve for x and y [(-2,0), (3,1)][(-1), (2x)] +3[(-2), (1)] =2[(y), (3)]

Exercise 9 (C) | Q 17.1 | Page 130

In the given case below find

a) The order of matrix M.

b) The matrix M

M xx [(1,1),(0, 2)] = [1, 2]

Exercise 9 (C) | Q 17.2 | Page 130

In the given case below, Find :

a) The order of matrix M

b) The matrix M

[(1, 4),(2, 1)] xx M = [(13), (5)]

Exercise 9 (C) | Q 18 | Page 130

If A = [(2, x),(0, 1)] and B = [(4, 36),(0, 1)]. Find the vlaue of x given that A^2 = B

Exercise 9 (C) | Q 19 | Page 130

If A = [(3,7), (2,4)], B = [(0,2), (5,3)] and C = [(1,-5), (-4,6)] Find AB - 5C

Exercise 9 (C) | Q 20 | Page 130

If A and B are any two 2 x 2 matrices such that AB = BA = B and B is not a zero matrix, what can you say about the matrix A?

Exercise 9 (C) | Q 21 | Page 130

Given A = [(3, 0),(0, 4)], B = [(a, b),(0, c)] and that AB = A + B. Find the values of a, b and c

Exercise 9 (C) | Q 22 | Page 130

If P = [(1, 2),(2, -1)] and Q = [(1, 0),(2, 1)] then compute:

1) P^2 - Q^2

2) (P + Q)(P - Q)

Is (P + Q)(P - Q) = P^2 - Q^2 true for matrix algebra?

Exercise 9 (C) | Q 23 | Page 130

Given the matrices A = [(2, 1),(4, 2)], B = [(3, 4),(-1, -2)] and C = [(-3, 1),(0, -2)] Find

1) ABC

2) ACB

State whether ABC = ACB.

Exercise 9 (C) | Q 24.1 | Page 130

If A = [(1, 2),(3, 4)], B = [(6, 1), (1, 1)] and C= [(-2, -3),(0, 1)] Find the following and state of they are equal CA + B

Exercise 9 (C) | Q 24.2 | Page 130

If A = [(1, 2),(3, 4)], B = [(6, 1), (1, 1)] and C = [(-2, -3),(0, 1)] find of the following and state if they are equal A + CB

Exercise 9 (C) | Q 25 | Page 130

if A = [(2, 1),(1, 3)] and B = [(3),(-11)] Fidn the matrix X such that AX = B

Exercise 9 (C) | Q 26 | Page 130

If A =[(4, 2),(1,1)] Find (A - 2I)(A - 3I)

Exercise 9 (C) | Q 27.1 | Page 130

If A = [(2, 1, -1),(0, 1, -2)] Find A^t. A Where  A^t.A is the transpose of matrix A

Exercise 9 (C) | Q 27.2 | Page 130

If A = [(2,1,-1),(0, 1,-2)] find A.A^t where A^t is the transpose of matrix A

Exercise 9 (C) | Q 28 | Page 130

if M = [(4,1),(-1,2)] show that 6m - m^2 = 9I where I is 2 x 2 unit matrix.

Exercise 9 (C) | Q 29 | Page 130

If P = [(2,6),(3,9)] and Q = [(3,x),(y, 2)] find x and y such that PQ = null matrix

Exercise 9 (C) | Q 30 | Page 130

Evaluate  without using tables:

[(2 cos 60^@ - 2 sin 30^@),(-tan 45^@ , cos 0^@)][(cot 45^@,cosec 30^@),(sec 60^@,sin 90^@)]

Exercise 9 (C) | Q 31.1 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2

A + B = B + A

• True

• False

Exercise 9 (C) | Q 31.2 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

A – B = B – A

• True

• False

Exercise 9 (C) | Q 31.3 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

(B. C). A = B. (C. A)

• True

• False

Exercise 9 (C) | Q 31.4 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

(A + B). C = A. C + B. C

• True

• False

Exercise 9 (C) | Q 31.5 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

A. (B - C) = A. B - A. C

• True

• False

Exercise 9 (C) | Q 31.6 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

(A – B). C = A. C – B. C

• True

• False

Exercise 9 (C) | Q 31.7 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

A² – B² = (A + B) (A – B)

• True

• False

Exercise 9 (C) | Q 31.8 | Page 131

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2.

(A – B)² = A² – 2A. B + B²

• True

• False

Exercise 9 (D)[Pages 131 - 132]

### Selina solutions for Concise Maths Class 10 ICSE Chapter 9 MatricesExercise 9 (D)[Pages 131 - 132]

Exercise 9 (D) | Q 1 | Page 131

Find x and y, if ((3,-2),(-1,4))((2x),(1)) + 2((-4),(5)) = 4((2),(y))

Exercise 9 (D) | Q 2 | Page 131

Find x and y if [3x  8][(1,4),(3,7)] - 3[(2,-7)] = 5[(3, 2y)]

Exercise 9 (D) | Q 3.1 | Page 131

if [x,y][(x),(y)] =   and [-x, y][(2x),(y)] = [-2] find x and y if x, y  ε  W (whole numbers)

Exercise 9 (D) | Q 3.2 | Page 131

If [x, y][(x),(y)] =  and [(-x, y)][(2x),(y)] = [-2] find x and y if x, y  ε  Z (integer)

Exercise 9 (D) | Q 4.1 | Page 131

Given [(2, 1),(-3, 4)] X = [(7), (6)] write the order of matrix x

Exercise 9 (D) | Q 4.2 | Page 131

Given [(2, 1),(-3, 4)] x = [(7),(6)] Write the matrix x

Exercise 9 (D) | Q 5 | Page 131

Evaluate [(cos 45°, sin 30°),(sqrt2 cos 0°, sin 0°)][(sin 45°, cos 90°), (sin 90°, cot 45°)]

Exercise 9 (D) | Q 6 | Page 131

If A = [(0, -1),(4, -3)], B = [(-5),(6)] and 3A x M = 2B; Find matrix M

Exercise 9 (D) | Q 7 | Page 131

If [(a, 3),(4, 1)] + [(2, b),(1, -2)] - [(1,1),(-2, c)] = [(5, 0),(7, 3)], Find the values of a, b and c

Exercise 9 (D) | Q 8.1 | Page 131

If A = [(1, 2),(2,1)] and B = [(2, 1),(1, 2)] Find A(BA)

Exercise 9 (D) | Q 8.2 | Page 131

If A = [(1, 2),(2, 1)] and B= [(2,1),(1, 2)] Find (AB).B

Exercise 9 (D) | Q 9 | Page 131

Find x and y if [(x, 3x),(y, 4y)][(2), (1)] = [(5),(12)]

Exercise 9 (D) | Q 10 | Page 131

If matrix X = [(-3, 4),(2, -3)][(2),(-2)] and 2X - 3Y = [(10),(-8)]; Find the matrix X and Y

Exercise 9 (D) | Q 11 | Page 131

Given A = [(2, -1),(2, 0)] B = [(-3, 2),(4, 0)] and C = [(1, 0),(0, 2)] Find the matrix X such that A + X = 2B = C

Exercise 9 (D) | Q 12 | Page 131

Find the value of x, given that A^2 = B

A = [(2, 12),(0, 1)] and B = [(4, x),(0, 1)]

Exercise 9 (D) | Q 13 | Page 131

If A = [(2, 5),(1, 3)], B = [(4, -2),(-1, 3)] and I is Identity matrix of same order and A^t is the transpose of matrix A find A^t.B + BI

Exercise 9 (D) | Q 14 | Page 131

Given A = [(2,-6),(2,0)], "B" = [(-3,2),(4,0)], "C" = [(4,0),(0,2)] Find the matrix X such that A + 2X = 2B + C.

Exercise 9 (D) | Q 15 | Page 131

Let A = [(4, -2),(6, -3)], B = [(0, 2),(1, -1)] and C =[(-2, 3),(1, -1)] Find A^2 + A +BC

Exercise 9 (D) | Q 16 | Page 132

Let A = [(1, 0),(2, 1)], B = [(2, 3),(-1, 0)]. Find A^2 + AB + B^2

Exercise 9 (D) | Q 17 | Page 132

If A = [(3, a),(-4, 8)], B = [(c, 4),(-3, 0)], C = [(-1, 4),(3, b)] and 3A - 2C = 6B, find the values of a, b , c.

Exercise 9 (D) | Q 18 | Page 132

Given A = [(p, 0),(0, 2)], B = [(0, -q),(1, 0)]  C = [(2, -2),(2, 2)] and BA = C^2 Find the values of p and q

Exercise 9 (D) | Q 19 | Page 132

Given A = [(3,-2),(-1,4)] B = [(6),(1)], C = [(-4),(5)] and D = [(2),(2)] Find AB + 2C - 4D

Exercise 9 (D) | Q 20 | Page 132

Evaluate:

[(4sin 30^@,  2cos 60^@),(sin 90^@, 2 cos 0^@)][(4,5),(5,4)]

Exercise 9 (D) | Q 21 | Page 132

if A = [(3,1),(-1,2)] and I = [(1,0),(0,1)], find A^2 - 5A + 7I

Exercise 9 (D) | Q 22 | Page 132

Given A = [(2,0), (-1,7)] and 1 = [(1,0), (0,1)] and A2 = 9A +mI. Find m

Exercise 9 (D) | Q 23.1 | Page 132

Given matrix A = [(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)] If AX = B.
Write the order of matrix X.

Exercise 9 (D) | Q 23.2 | Page 132

Given matrix A = [(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)] If AX = B.
Find the matrix 'X'

Exercise 9 (D) | Q 24 | Page 132

If A = [(1,3), (3,4)] B = [(-2,1), (-3,2)] and A^2 - 5B^2 = 5C Find the matrix C where C is a 2 by 2 matrix.

Exercise 9 (D) | Q 25 | Page 132

Given matrix B =[(1,1), (8,3)] Find the matrix X if, X = B2 - 4B. Hence, solve for a and b given X[(a), (b)] = [(5), (50)]

## Chapter 9: Matrices

Exercise 9 (A)Exercise 9 (B)Exercise 9 (C)Exercise 9 (D) ## Selina solutions for Concise Maths Class 10 ICSE chapter 9 - Matrices

Selina solutions for Concise Maths Class 10 ICSE chapter 9 (Matrices) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Maths Class 10 ICSE solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Selina textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Concise Maths Class 10 ICSE chapter 9 Matrices are Introduction to Matrices, Addition and Subtraction of Matrices, Multiplication of Matrix, Matrices Examples.

Using Selina Class 10 solutions Matrices exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Selina Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 10 prefer Selina Textbook Solutions to score more in exam.

Get the free view of chapter 9 Matrices Class 10 extra questions for Concise Maths Class 10 ICSE and can use Shaalaa.com to keep it handy for your exam preparation

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