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# Selina solutions for Concise Mathematics 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)

#### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 9 Matrices Exercise Exercise 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

#### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 9 Matrices Exercise Exercise 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

#### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 9 Matrices Exercise Exercise 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

#### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 9 Matrices Exercise Exercise 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)] = [25]  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)] = [25] 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 Mathematics Class 10 ICSE chapter 9 - Matrices

Selina solutions for Concise Mathematics 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 Mathematics Class 10 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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

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