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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
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A
-A
A
t
A
-
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Question # 2
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3K
K2
K3
K
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Question # 3
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Question # 4
If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix
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A2
A5
A3
A7
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Question # 5
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0
1
2
4
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Question # 6
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 7
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 8
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 9
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 10
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 11
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 12
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all are correct
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Question # 13
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 14
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Question # 15
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 16
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 17
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 18
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5
-5
none
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Question # 19
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 20
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 21
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 # 22
If for the matrix A,A5 = 1,then A-1=
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A2
A3
A
None of above
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Question # 23
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1
0
-1
2
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Question # 24
If A = |aij| is (m x n) matrix then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 25
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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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
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Question # 28
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 # 29
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 # 30
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2s
2
2s
3
s
3
3s
3
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Question # 31
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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