ML Aggarwal Matrices Exe-8.3 Class 10 ICSE Maths Solutions

ML Aggarwal Matrices Exe-8.3 Class 10 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-8.3 Questions as council prescribe guideline for upcoming board exam.  Visit official Website CISCE  for detail information about ICSE Board Class-10.

ML Aggarwal Matrices Exe-8.3 Class 10 ICSE Maths Solutions Ch-8

Board ICSE
Subject Maths
Class 10th
Chapter-8 Matrices
Writer / Book Understanding
Topics Solutions of Exe-8.3
Academic Session 2024-2025

Matrices

( ML Aggarwal Matrices Exe-8.3 Class 10 ICSE Maths Solutions )

Question- 1

If ml classs 10 matrices exercise 8.3 question 1, is the product AB possible ? Give a reason. If yes, find AB. (2011)

Answer- 1

Yes, the product is possible because of
number of column in A = number of row in B
i.e., (2 x 2). (2 x 1) = (2 x 1) is the order of the matrix.

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-1

Question- 2

If ml classs 10 matrices exercise 8.3 question 2, find AB and BA, Is AB = BA ?

Answer -2

ml classs 10 matrices exercise 8.3 question 2

First finding AB
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-2.1

Now Finding BA

Therefore AB is not equal to BA


 Matrices Exe-8.3 Questions

ML Aggarwal Class 10 ICSE Maths Solutions

Page-157

Answer- 1

Yes, the product is possible because of
number of column in A = number of row in B
i.e., (2 x 2). (2 x 1) = (2 x 1) is the order of the matrix.

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-1

Answer -2

ml classs 10 matrices exercise 8.3 question 2

First finding AB
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-2.1

Now Finding BA

Therefore AB is not equal to BA

Answer-3

ml classs 10 matrices exercise 8.3 question 3

AB=
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-3

Answer -4

ml classs 10 matrices exercise 8.3 question 4
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-4

Answer -5

ml classs 10 matrices exercise 8.3 question 5

ml classs 10 matrices exercise 8.3 question 5A

Answer -6

ml classs 10 matrices exercise 8.3 question 6

sin 30= 1/2 and cos 60 = 1/2

sin 90=1  cos 0 =1

ml classs 10 matrices exercise 8.3 question 6

Answer-7,
ml classs 10 matrices exercise 8.3 question 7

AB=

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-7

Answer -8

ml classs 10 matrices exercise 8.3 question 8A

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-8

Answer-9

(i) A(B + C) 

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-9.1 

 (ii) (B + C)A

Answer-10

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-10

Answer-11

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-11

ml classs 10 matrices exercise 8.3 question 11

Answer -12

ml classs 10 matrices exercise 8.3 question 12

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-12

Answer-13

Marices ml aggarwal class 10 exe-8.3 Q-13

AC+ B² -10 C

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-13

Answer-14

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-14

Answer-15
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-15

Answer -16

Givenml classs 10 matrices exercise 8.3 question 16
X² – 2X – 3I = 0
Solution =
or
X = ml classs 10 matrices exercise 8.3 question 16
∴ X² = ml classs 10 matrices exercise 8.3 question 16ml classs 10 matrices exercise 8.3 question 16
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-16

Answer-17

Given
ml classs 10 matrices exercise 8.3 question 17
Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-17

Answer-18

Given
ml classs 10 matrices exercise 8.3 question 18
A² =

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-18

comparing 1+x =0

x = -1

Answer-19

ml classs 10 matrices exercise 8.3 question 19a
Comparing the corresponding elements,

– 3x + 4 = -5

-3x = -5 – 4 = -9

x = -9/-3 = 3

Therefore, x = 3 and y = -10.

ml classs 10 matrices exercise 8.3 question 19z

Comparing, we get

8x = 16

⇒ x = 16/8 = 2

And, 9y = 9

y = 9/9 = 1

Answer-20

Given
ml classs 10 matrices exercise 8.3 question 20

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-20

On comparing the corresponding elements,

2x + y = 3 … (i)

3x + y = 2 … (ii)

Subtracting,

-x = 1 ⇒ x = -1

Substituting the value of x in (i),

2(-1) + y = 3

-2 + y = 3

y = 3 + 2 = 5

Therefore, x = -1 and y = 5.

Answer -21

Given
ml classs 10 matrices exercise 8.3 question 21
ml classs 10 matrices exercise 8.3 question 21x

Comparing the corresponding elements
2y = 0
⇒ y = 0
3x = 9
⇒ x = 3
Hence x = 3, y = 0.

Answer -22

Given
ml classs 10 matrices exercise 8.3 question 22
ml classs 10 matrices exercise 8.3 question 22z
Comparing the corresponding elements
a = 3, b = 4, c = 2, d = 5

Answer -23

A = ml classs 10 matrices exercise 8.3 question 23a and
B = ml classs 10 matrices exercise 8.3 question 23b
A² = B

A x A = B

Matrices Solutions of Chapter-8 ML Aggarwal for ICSE Maths Class 10th Exercise-8.3 Answer-23

on  comparing x=36

Answer-24

Given
A² = ml classs 10 matrices exercise 8.3 question 24aml classs 10 matrices exercise 8.3 question 24a
ml classs 10 matrices exercise 8.3 question 24w

Corresponding the corresponding elements
3x = 36
⇒ x = 12
Hence x = 12.

Answer-25

Given
A = ml classs 10 matrices exercise 8.3 question 25a and B = ml classs 10 matrices exercise 8.3 question 25b find x and y when A² = B
ml classs 10 matrices exercise 8.3 question 25f

We have A2 = B
Two matrices are equal if each and every corresponding element is equal

⇒ 4x = 16 and 1 = –y
⇒ x = 4 and y = –1.

Answer -26

given

ml classs 10 matrices exercise 8.3 question 26a

ml classs 10 matrices exercise 8.3 question 26b

  Answer-27

ml classs 10 matrices exercise 8.3 question 27a
ml classs 10 matrices exercise 8.3 question 27b

  Answer -28

Given
A² = ml classs 10 matrices exercise 8.3 question 28aml classs 10 matrices exercise 8.3 question 28a

ml classs 10 matrices exercise 8.3 question 28b

Answer -29

given

ml classs 10 matrices exercise 8.3 question 29a

ml classs 10 matrices exercise 8.3 question 29b

Answer-30

Given

ml classs 10 matrices exercise 8.3 question 30a
(i) M is the order of 1 x 2
let M = [x y]

ml classs 10 matrices exercise 8.3 question 30b

Answer -31

We have

ml classs 10 matrices exercise 8.3 question 31a

ml classs 10 matrices exercise 8.3 question 31b

 Answer-32

ml classs 10 matrices exercise 8.3 question 32a

Let matrix X = [x y]

ml classs 10 matrices exercise 8.3 question 32b

Answer -33

(i) givenml classs 10 matrices exercise 8.3 question 33aa

ml classs 10 matrices exercise 8.3 question 33aaa

ml classs 10 matrices exercise 8.3 question 33aaaa

ml classs 10 matrices exercise 8.3 question 33b

Answer-34

A = ml classs 10 matrices exercise 8.3 question 34a
BA = I, where I is unity matrix of order 2

ml classs 10 matrices exercise 8.3 question 34aa

ml classs 10 matrices exercise 8.3 question 34aaa

Answer-35

(i)

ml classs 10 matrices exercise 8.3 question 35aa

(ii)

ml classs 10 matrices exercise 8.3 question 35b

ml classs 10 matrices exercise 8.3 question 35bb

Answer-36

ml classs 10 matrices exercise 8.3 question 36a

and AB = C

ml classs 10 matrices exercise 8.3 question 36aaml classs 10 matrices exercise 8.3 question 36aaa

— : End of ML Aggarwal Matrices Exe-8.3 for Class 10 ICSE Maths Solutions :–

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

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