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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 2
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Question # 3
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I
|A|
|A| I
None of these
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Question # 4
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 # 5
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 6
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 7
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Question # 8
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 9
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I
14 I
0
None of these
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Question # 10
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Question # 11
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 # 12
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 13
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 14
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 15
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Question # 16
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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Question # 17
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0
1
-2
10
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Question # 18
If A = [aij]mxpand B =[aij]pxnthen order of BA is
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m x n
p x n
n x m
None of these
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Question # 19
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 # 20
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 # 21
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k3
0
3k
k6
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Question # 22
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all
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Question # 23
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A
-A
A
t
A
-
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Question # 24
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 25
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 26
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 27
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0
1
-A
-1
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Question # 28
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 29
System of linear equations is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 30
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A
-
A
t
-A
A
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