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Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 11 - Matrices [Latest edition]

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Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 11 - Matrices - Shaalaa.com
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Solutions for Chapter 11: Matrices

Below listed, you can find solutions for Chapter 11 of CISCE Frank for Mathematics - Part 2 [English] Class 10 ICSE.


Exercise 11.1Exercise 11.2
Exercise 11.1

Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 11 Matrices Exercise 11.1

1.1

Classify the following rnatrix : 

`|(2,1),(0 , 6),(8 , 7) |`

1.2

Classify the following matrix :

`[(7, 0)]`

1.3

Classify the following matrix :

`|(800),(521)|`

1.4

Classify the following matrix :

`|(1 , 1),(0,9)|`

1.5

Classify the following matrix :

`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`

2

Find the values of a and b) if [2a + 3b a - b] = [19  2]. 

3

Find the values of x and y, if  `|(3"x" - "y"),(5)| = |(7) , ("x + y")|`

4

Find the values of a, b, c and d, if `|("a + 3b", 3"c" + "d"),(2"a" - "b" , "c" - 2"d")| = |(5 , 8),(3 , 5)|`

5.1

If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` , find :  A + B

5.2

If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` find : 2A + 3B

5.3

If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` find A - 2B

6.1

If A = [4  7] and B = [3 1] , find:  A+2B 

6.2

If A = [4 7] and B = [3 l], find:  A - B

6.3

If A = [4 7] and B = [3 l], find : 2A - 3B

7.1

If P = `|(2 , 9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` , find 2P + 3Q

7.2

If P =`|(2,9),(5,7)|` and Q = `|(7,3),(4,1)|` find  2Q - P

7.3

If P = `|(2,9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` find 3P - 2Q

8

If A = `|(17 , 5 , 19),(11 , 8 , 13)|`  and B =`|(9,3,7),(1,6,5)|` , find 2A - 3B

9.1

If M = `|(8,3),(9,7),(4,3)|`  and N = `|(4,7),(5,3),(10 , 1)|`  find M+N 

9.2

If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N

10.1

If A =`|(1, 9 , 4),(5 , 0 , 3)|` , find negative A

10.2

If A = `|(1,9,4),(5 , 0 , 3)|`  find A'

11.1

If P = (8 , 5),(7 , 2) , find Pt

11.2

If P= (8,5),(7,2) find : P + Pt

11.3

If P = `|(8,5),(7,2)|` find  P - Pt

12

If B = `|(15 , 13),(11,12),(10,17)|` , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.

13

If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.

14

If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.

15

If `|(2"a" + "b" , "c"),("d" , 3"a" - "b")|` = `|(4 , 3"a"),(7 , 6)|` , find the values of a , b , c and d.

16

If `|(3"a" + 2"b" , 2"a" - "b"),(4"p" - 3"q" , 2"p" + "q")|` = `|(12 , 1),(16 , 8)|` , find the values of a , b , p and q.

17.1

If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that  A + X

17.2

If A = `|(15,7),(13,8)|` and B = `|(16,12),(27,11)|`,  find matrix X such that 2A - X = B.

18

If P = `|(14 , 17),(13,1)|` and Q = `|(2 , 1),(3 , -3)|` , find matrix M such that P - M = 3Q

Exercise 11.2

Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 11 Matrices Exercise 11.2

1.1

Evaluate the following :

`|(-2 , 3),(-1 , 4)| |(6 , 4),(3 ,- 1)|`

1.2

Evaluate the following: 

`|(3 , 2)|  |(-1) , (3)|`

1.3

Evaluate the following :

`|(2 , -5),(0 , -3)| |(1 , -1),(3 , 2)|`

1.4

Evaluate the following :

`|(1 , 1),(2 , 3)|  |(2 , 1),(1 , 4)|`

1.5

Evaluate the following :

`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`

1.6

Evaluate the following :

`|(2,1) ,(3,2),(1 , 1)|  |(1 , -2 , 1),(2 , 1 , 3)|` 

1.7

Evaluate the following :

`|(0 , 1),(-1 , 2),(-2 , 0)|  |(0 , -4 , 0),(3 , 0 , -1)|`

1.8

Evaluate the following :

`|(6 , 1),(3 , 1),(2 , 4)|  |(1 , -2 , 1),(2 , 1 , 3)|`

1.9

Evaluate the following :

`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)|  |(1 , -2),(3 , 4),(0 , 0)|`

2.1

If A = `|(1,3),(3,2)|` and B = `|(-2,3),(-4,1)|`   find AB

2.2

If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|`  find BA

3

Let A be a 2 x 2 matrix and let I be an identity matrix of the order 2 x 2. Prove that AI = IA = A. 

4

If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).

5.1

If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|`  find the value of  P(Q + R)

5.2

If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|`   find the value of  (R + Q)P

6

If X = `|(1 , -2),(1 , 3)|` , Y = `|(-3 , 0),(4 , 1)|` and Z = `|(5 , -1),(3 , 2)|` , prove that X (Y + Z) = XY + XZ

7

If A = `|(3,-2),(-1 , 4)|` , B = `|(2"a"),(1)|` , C = `|(-4),(5)|` , D = `|(2),("b")|` and AB + 2C = 4D then find the values of a and b.

8.1

Let A = `|(3 , 2),(0 ,5)|` and B = `|(1 ,0),(1 ,2)|` , find (i) (A + B)(A - B)  (ii) A2 - B2 . Is (i) equal to (ii) ?

9

Find X and Y , if `|(1,2),(2 , -3)|  |(x),(y)| = |(-1) , (12)|`

Solutions for 11: Matrices

Exercise 11.1Exercise 11.2
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 11 - Matrices - Shaalaa.com

Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 11 - Matrices

Shaalaa.com has the CISCE Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Frank solutions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE 11 (Matrices) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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Concepts covered in Mathematics - Part 2 [English] Class 10 ICSE chapter 11 Matrices are Concept of Matrices, Types of Matrices, Equality of Matrices, Compatibility of Matrices, Transpose of a Matrix, Operations on Matrices> Addition of Matrices, Operations on Matrices> Matrix Multiplication, Operations on Matrices>Scalar Multiplication.

Using Frank Mathematics - Part 2 [English] Class 10 ICSE solutions Matrices exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Frank Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics - Part 2 [English] Class 10 ICSE students prefer Frank Textbook Solutions to score more in exams.

Get the free view of Chapter 11, Matrices Mathematics - Part 2 [English] Class 10 ICSE additional questions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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