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Chapter 7: Matrices and Determinants
- Online Test
Chapter 7: Matrices and Determinants
TEST : 1
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q1.
If a
ij
= 1/2 (3
i
− 2
j
) and A = [a
ij
]
2×2
is
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q2.
What must be the matrix X, if
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q3.
Which one of the following is not true about the matrix
A.
a scalar matrix
B.
a diagonal matrix
C.
an upper triangular matrix
D.
a lower triangular matrix
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q4.
If
A
and
B
are two matrices such that
A
+
B
and
AB
are both defined, then
A.
A and B are two matrices not necessarily of same order
B.
A and B are square matrices of same order
C.
Number of columns of A is equal to the number of rows of B
D.
A = B.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q5.
If A =
then for what value of λ, A
2
= O ?
A.
0
B.
±1
C.
- 1
D.
1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q6.
If
and ( A
+ B )
2
= A
2
+ B
2
then the values of
a
and
b
are
A.
a = 4, b = 1
B.
a = 1, b = 4
C.
a = 0, b = 4
D.
a = 2, b = 4
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q7.
If
is a matrix satisfying the equation AA
T
= 9I, where I is 3 × 3 identity matrix, then the ordered pair (
a, b
) is equal to
A.
(2, - 1)
B.
(- 2, 1)
C.
(2, 1)
D.
(- 2, - 1)
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q8.
If A is a square matrix, then which of the following is not symmetric?
A.
A
+ A
T
B.
AA
T
C.
A
T
A
D.
A − A
T
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q9.
If A and B are symmetric matrices of order n, where ( A ≠ B), then
A.
A + B is skew-symmetric
B.
A + B is symmetric
C.
A + B is a diagonal matrix
D.
A + B is a zero matrix
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 7: Matrices and Determinants
# TN 11th Maths
Prepare / Learn
Q10.
If A
=
and if
xy
= 1,
then det ( AA
T
) is equal to
A.
(a −1)
2
B.
(a
2
+1)
2
C.
a
2
−1
D.
(a
2
−1)
2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
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