

Solve The Following Questions NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5
Find adjoint of each of the matrices in Exercise 1 and 2. Question 1.
Solution :
Question
2.
Solution :
Solution :
Solution :
Let A =
Solution :
Question
6.
Solution :
| NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.1 | NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.2 |
| NCERT Solutions for Class 12 Maths Chapter 2 Miscellaneous Exercise | |
Solution :
Question
8.
Solution :
Question
9.
Solution :
Question
10.
Solution :
Let A =
Question
11.
Solution :
Question
12. Let
Solution :
Question 1
3. If A =
, show that A2 – 5A + 7I = 0. Hence find A
-1
Solution :
Question
14. For the matrix A =
find numbers
a and b such that
A
2
+
aA
+
bI
=
O
.
Solution :
Question
15. For the matrix A =
, show that
A
3
− 6
A
2
+ 5
A
+ 11
I
= O. Hence, find
A
−1.
Solution :
Question
16. If A =
, verify that
A
3
− 6
A
2
+ 9
A
− 4
I
=
O
and hence find
A
−1
Solution :
Question
17. Let A be a non-singular matrix of order 3 x 3. Then |adjA| is equal to:
(A) |A|
(B) |A|
2
(C) |A|
3
(D) 3|A|
Solution :
Therefore, option (B) is correct.
Question
18. If A is an invertible matrix of order 2, then det (
A
−1
) is equal to:
(A) det A
(B) 1/det A
(C) 1
(D) 0
Solution :
Therefore, option (B) is correct.
