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Chapter 1: Applications of Matrices and Determinants
- Online Test
Chapter 1: Applications of Matrices and Determinants
TEST : 1
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q1.
If | adj(adj
A
) |
=
|
A
|
9
, then the order of the square matrix
A
is
A.
3
B.
4
C.
2
D.
5
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q2.
If
A
is a 3
×
3 non-singular matrix such that
AA
T
=
A
T
A
and
B
=
A
−
1
A
T
, then
BB
T
=
A.
A
B.
B
C.
I
3
D.
B
T
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q3.
If A =
, B = adj A and C = 3
A
, then
=
A.
1/3
B.
1/9
C.
1/4
D.
1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q4.
if
, then A =
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q5.
if
,
then
9I
2
– A =
A.
A
-1
B.
A
-1
/2
C.
3
A
-1
D.
2
A
-1
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q6.
if A =
, B=
then | adj (
AB
) |
=
A.
-40
B.
-80
C.
-60
D.
-20
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q7.
If P=
is the adjoint of 3
×
3 matrix
A
and |
A
|
=
4 , then
x
is
A.
15
B.
12
C.
14
D.
11
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q8.
If
A
=
,
and
A
−
1
=
then the value of
a
23
is
A.
0
B.
-2
C.
-3
D.
-1
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q9.
If
A
,
B
and
C
are invertible matrices of some order, then which one of the following is not true?
A.
adj A =| A | A
-1
B.
adj( AB) = (adj A)(adj B)
C.
det A
-1
= (det A)
-1
D.
( ABC)
-1
= C
-1
B
-1
A
-1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 1: Applications of Matrices and Determinants
# TN 12th Maths
Prepare / Learn
Q10.
If (
AB
)
−
1
=
, and A
-1
=
,
then
B
−
1
=
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
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