NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5 Determinants
NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5: This page consist of detail and accurate NCERT Solutions For Class 12 Maths Chapter 4-Determinants Exercise 4.5 prepared as per the requirements of CBSE board.
Krati Saraswat11 Jan, 2024
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NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5 Determinants
NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5 Determinants is prepared by academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of chapter 4. Given below is step by step solutions of all questions given in NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5.NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5
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.
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