ML Aggarwal Matrices Ch-Test Class 10 ICSE Maths Solutions Ch-8

ML Aggarwal Matrices Ch-Test Class 10 ICSE Maths Solutions Ch-8. We Provide Step by Step Answer of Ch-Test Questions for Matrices as council prescribe guideline for upcoming board exam. Visit official Website  CISCE  for detail information about ICSE Board Class-10.

ML Aggarwal ML Aggarwal Matrices Ch-Test Class 10 ICSE Maths Solutions Ch-8

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 10th
Chapter-8 Matrices
Writer ML Aggarwal
Book Name Understanding
Topics Solution of Ch-Test Questions
Edition 2022-2023

Matrices, Ch-Test Questions

ML Aggarwal Class 10 ICSE Maths Solutions Ch-8

Page-162

Question-1 Find the values of a and b if

ml classs 10 matrices chapter test ques 1

Answer -1

ml classs 10 matrices chapter test ques 1

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, b = 2 or 1

Question -2  Find a, b, c and d if

 ml classs 10 matrices chapter test ques 2

 Answer -2 

Given

ml classs 10 matrices chapter test ques 2

ml classs 10 matrices chapter test ques 2a

Question-3  Determine the matrices A and B when
A + 2B = ml classs 10 matrices chapter test ques 3a and 2A – B = ml classs 10 matrices chapter test ques 3b

Answer -3

A + 2B = ml classs 10 matrices chapter test ques 3a …..(i)
2A – B = ml classs 10 matrices chapter test ques 3b …….(ii)
Multiplying (i) by 1 and (ii) by 2
ML aggarwal class-10 matrices Chapter-test ans-3

Question-4   (i) Find the matrix B if A = ml classs 10 matrices chapter test ques 4a and A² = A + 2B 
ml classs 10 matrices chapter test ques 4b

Answer -4

(i)

A = ml classs 10 matrices chapter test ques 4a

ML aggarwal class-10 matrices Chapter-test ans-4.1
Comparing the corresponding elements
4 + 2a = 18
⇒ 2a = 18 – 4 = 14
∴ a = 7
1 + 2b = 7
⇒ 2b = 7 – 1 = 6
∴ b = 3
2 + 2c = 14
⇒ 2c = 14 – 2 = 12
∴ c = 6
3 + 2d = 11
⇒  2d = 11 – 3 = 8
∴ d = 4
Hence a = 7, b = 3, c = 6, d = 4

ml classs 10 matrices chapter test ques 4as

(ii)
ML aggarwal class-10 matrices Chapter-test ans-4.3

Question -5   If A =ml classs 10 matrices chapter test ques 5a  and B =ml classs 10 matrices chapter test ques 5b  find the each of the following and state it they are equal:
(i) (A + B)(A – B)
(ii)A² – B²

Answer-5  (i)   Given
A =ml classs 10 matrices chapter test ques 5a  and  B = ml classs 10 matrices chapter test ques 5b

        (A + B)   (A – B)
ML aggarwal class-10 matrices Chapter-test ans-5.1
(ii) A² – B²

ML aggarwal class-10 matrices Chapter-test ans-5.2

It is clear  that (A + B) (A – B) ≠ A2 – B2 .

Question -6  If A = ml classs 10 matrices chapter test ques 6 find A² – 5A – 14 I Where I is unit matrix of order 2 x 2

Answer-6

Given
A = ml classs 10 matrices chapter test ques 6

ML aggarwal class-10 matrices Chapter-test ans-6

Question-7

If A = ml classs 10 matrices chapter test ques 7 and A² = 0 find p and q

Answer -7

Given
A =ml classs 10 matrices chapter test ques 7

ml classs 10 matrices chapter test ques 7a

Comparing the corresponding elements
9 + 3p = 0
⇒ 3p = –9
⇒ p = –3
9 + 3q = 0
⇒ 3q = –9
⇒ q = –3
Hence p = –3, q = –3.

Question -8  find a, b, c and d if 

ml classs 10 matrices chapter test ques 8 

Answer-8

Given

ml classs 10 matrices chapter test ques 8

ml classs 10 matrices chapter test ques 8a

Comparing the corresponding elements
–a = 1
⇒ a = –1
–b = 0
⇒ b = 0
c = 0 and d = –1
Hence a = –1, b = 0, c = 0, d = –1.

Question -9 Find a and b if

ml classs 10 matrices chapter test ques 9

Answer -9

Given

ml classs 10 matrices chapter test ques 9
ML aggarwal class-10 matrices Chapter-test ans-9

Comparing the corresponding elements
2a – 4 = 0
⇒ 2a = 4
⇒ a = 2
2a – 2b = –2
⇒ 2 x 2 – 2b = –2
⇒ 4 – 2b = –2
⇒ –2b = –2 – 4 = –6
⇒ b = 3
Hence a = 2, b = 3.
Question -10    If A = ml classs 10 matrices chapter test ques 10a and B = ml classs 10 matrices chapter test ques 10b
Find    (i) 2A – 3B   (ii) A²     (iii)  BA

Answer-10

ml classs 10 matrices chapter test ques 10c

ml classs 10 matrices chapter test ques 10d

— : End ML Aggarwal Matrices Ch-Test Class 10 ICSE Maths Ch-8 :–

Return to :- ML Aggarwal Solutions for ICSE Class-10

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