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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