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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

Exercise 11.1 | Q 1.1

Classify the following rnatrix : 

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

Exercise 11.1 | Q 1.2

Classify the following matrix :

`[(7, 0)]`

Exercise 11.1 | Q 1.3

Classify the following matrix :

`|(800),(521)|`

Exercise 11.1 | Q 1.4

Classify the following matrix :

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

Exercise 11.1 | Q 1.5

Classify the following matrix :

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

Exercise 11.1 | Q 2

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

Exercise 11.1 | Q 3

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

Exercise 11.1 | Q 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)|`

Exercise 11.1 | Q 5.1

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

Exercise 11.1 | Q 5.2

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

Exercise 11.1 | Q 5.3

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

Exercise 11.1 | Q 6.1

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

Exercise 11.1 | Q 6.2

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

Exercise 11.1 | Q 6.3

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

Exercise 11.1 | Q 7.1

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

Exercise 11.1 | Q 7.2

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

Exercise 11.1 | Q 7.3

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

Exercise 11.1 | Q 8

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

Exercise 11.1 | Q 9.1

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

Exercise 11.1 | Q 9.2

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

Exercise 11.1 | Q 10.1

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

Exercise 11.1 | Q 10.2

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

Exercise 11.1 | Q 11.1

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

Exercise 11.1 | Q 11.2

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

Exercise 11.1 | Q 11.3

If P = `|(8,5),(7,2)|` find  P - Pt

Exercise 11.1 | Q 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.

Exercise 11.1 | Q 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.

Exercise 11.1 | Q 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.

Exercise 11.1 | Q 15

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

Exercise 11.1 | Q 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.

Exercise 11.1 | Q 17.1

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

Exercise 11.1 | Q 17.2

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

Exercise 11.1 | Q 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

Exercise 11.2 | Q 1.1

Evaluate the following :

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

Exercise 11.2 | Q 1.2

Evaluate the following: 

`|(3 , 2)|  |(-1) , (3)|`

Exercise 11.2 | Q 1.3

Evaluate the following :

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

Exercise 11.2 | Q 1.4

Evaluate the following :

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

Exercise 11.2 | Q 1.5

Evaluate the following :

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

Exercise 11.2 | Q 1.6

Evaluate the following :

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

Exercise 11.2 | Q 1.7

Evaluate the following :

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

Exercise 11.2 | Q 1.8

Evaluate the following :

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

Exercise 11.2 | Q 1.9

Evaluate the following :

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

Exercise 11.2 | Q 2.1

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

Exercise 11.2 | Q 2.2

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

Exercise 11.2 | Q 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. 

Exercise 11.2 | Q 4

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

Exercise 11.2 | Q 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)

Exercise 11.2 | Q 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

Exercise 11.2 | Q 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

Exercise 11.2 | Q 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.

Exercise 11.2 | Q 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) ?

Exercise 11.2 | Q 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 Addition and Subtraction of Matrices, Multiplication of Matrix, Matrices Examples, Introduction of Matrices, Types of Matrices.

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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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