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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
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I
|A|
|A| I
None of these
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Question # 2
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1
-1
0
I
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Question # 3
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1
0
-1
2
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Question # 4
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Question # 5
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Question # 6
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16
256
64
1024
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Question # 7
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 8
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 9
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 10
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 11
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 12
A square matrix A for which A
t
= A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 13
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5
-5
none
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Question # 14
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 15
Two matrices A and B are conformable for the product AB if
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Both A and B are square
Both A and B are symmetric
Number of rows of A = number of columns of B
Number of columns of A = number of rows of B
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Question # 16
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 17
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 18
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I
14 I
0
None of these
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Question # 19
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0
Independent of a
Independent of b
Independent of c
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Question # 20
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Question # 21
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 22
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Question # 23
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 24
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Question # 25
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 26
If order of A is m x n, then order of A
t
is
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m x m
n x n
m x n
n x m
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Question # 27
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 28
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 # 29
The transpose of a row matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 30
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 # 31
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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