## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 9 Matrices Chapter Test

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 9 Matrices Chapter Test.

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**Question 1.**

**Find the values of a and below**

**Solution:**

comparing the corresponding elements

a + 3 = 2a + 1

=> 2a – a =3 – 1

=> a = 2

b² + 2 = 3b

=>b² – 3b + 2 = 0

=> b² – b – 2b + 2 = 0

=> b (b – 1) – 2 (b – 1) = 0

=> (b – 1) (b – 2) = 0.

Either b – 1 = 0, then b = 1 or b – 2 = 0,

then b = 2

Hence a = 2, 5 = 2 or 1 Ans.

**Question 2.**

**Find a, b, c and d if **

**Solution:**

Given

**Question 3.**

**Find X if Y = and 2X + Y = **

**Solution:**

Given

2X + Y =

=> 2X = 2X + Y = – Y

**Question 4.**

**Determine the matrices A and B when**

**A + 2B = and 2A – B = **

**Solution:**

A + 2B = …..(i)

2A – B = …….(ii)

Multiplying (i) by 1 and (ii) by 2

**Question 5.**

**(i) Find the matrix B if A = and A² = A + 2B**

**(ii) If A = , B = **

**and C = find A(4B – 3C)**

**Solution:**

A =

let B =

**Question 6.**

**If A = , B = and ****C = compute (AB)C = (CB)A ?**

**Solution:**

Given

A = ,

B = and

C =

**Question 7.**

**If A = and B = find the each of the following and state it they are equal:**

**(i) (A + B)(A – B)**

**(ii)A² – B²**

**Solution:**

Given

A = and

B =

**Question 8.**

**If A = find A² – 5A – 14I**

**Where I is unit matrix of order 2 x 2**

**Solution:**

Given

A =

**Question 9.**

**If A = and A² = 0 find p and q**

**Solution:**

Given

A =

**Question 10.**

**If A = and A² = I, find x,y**

**Solution:**

Given

A =

**Question 11.**

**If find a,b,c and d**

**Solution:**

Given

**Question 12.**

**Find a and b if**

**Solution:**

Given

**Question 13.**

**If A = and B = **

**Find (i) 2A – 3B (ii) A² (iii) BA**

**Solution:**

Given

A = and

B =

Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 9 Matrices Chapter Test are helpful to complete your math homework.

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