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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
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2
4
6
8
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Question # 2
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Question # 3
Cofactor of an element a
ij
is defined by
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(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 4
A matrix with a single row is called a
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Column matrix
Row matrix
Null matrix
Identity matrix
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Question # 5
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 6
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Singular
Non-singular
Adjoint
None of above
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Question # 7
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all are correct
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Question # 8
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 9
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 10
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Question # 11
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 12
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Question # 13
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Question # 14
We also the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a, b and c
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Question # 15
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 16
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 17
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 18
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-3
-7
1
0
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Question # 19
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 20
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 21
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all are correct
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