## Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9C

These Solutions are part of Selina Concise Mathematics Class 10 ICSE Solutions. Here we have given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9C.

**Other Exercises**

- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9A
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9B
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9C
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9D

**Question 1.**

**Evaluate if possible :**

**If not possible, give a reason.**

**Solution:**

(iv) It is not possible, because number of columns of the first matrix is not equal to number of rows of the second matrix.

**Question 2.**

**Solution:**

**Question 3.**

**Solution:**

**Question 4.**

**Find x and y, if:**

**Solution:**

**Question 5.**

**Solution:**

**Question 6.**

**(i) AB**

**(ii) BA**

**(iii) A²**

**Solution:**

**Question 7.**

**Solution:**

**Question 8.**

**Solution:**

**Question 9.**

**Solution:**

Comparing the elements, we get:

-2b =-2

b = 1

a = 2

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

**Solution:**

**Question 13.**

**Solution:**

**Question 14.**

**Solution:**

**Question 15.**

**Simplify : A² + BC.**

**Solution:**

**Question 16.**

**Solve for x and y :**

**Solution:**

**Question 17.**

**In each case given below, find :**

**(a) the order of matrix M.**

**(b) the matrix M.**

**Solution:**

**Question 18.**

**Solution:**

**Question 19.**

**Solution:**

**Question 20.**

**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?**

**Solution:**

AB = BA = B

But it is possible, when A = 0 or B = 0

But B is not a zero matrix (given)

A is a zero matrix or A is an identity matrix

**Question 21.**

**Solution:**

**Question 22.**

**Solution:**

**Question 23.**

**Solution:**

**Question 24.**

**Solution:**

**Question 25.**

**Solution:**

**Question 26.**

**Solution:**

**Question 27.**

**Solution:**

**Question 28.**

**Solution:**

**Question 29.**

**Solution:**

**Question 30.**

**Solution:**

**Question 31.**

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

**(i) A + B = B + A**

**(ii) A – B = B – A**

**(iii) (B . C). A = B . (C . A)**

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

**(v) A . (B – C) = A . B – A . C**

**(vi) (A – B) . C = A . C – B . C**

**(vii) A² – B² = (A + B) (A – B)**

**(viii) (A – B)² = A² – 2 A . B + B²**

**Solution:**

(i) True : Because addition of matrices is commutative.

(ii) False : Subtraction of matrices is not commutative.

(iii) True : Multiplication of matrices is associative.

(iv) True: Multiplication of matrices is distributive over addition.

(v) True : As given above in (iv)

(vi) True : As given above in (iv)

(vii) False : Laws of algebra for factorization and expansion are not applicable to matrices.

(viii) False, As given above in (vii)

Hope given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 9 Matrices Ex 9C are helpful to complete your math homework.

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