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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 2
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 # 3
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Question # 4
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Question # 5
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0
1
-2
10
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Question # 6
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Question # 7
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 8
In order of A is m x n and order of B is n x p then order of AB is
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m x m
n x n
m x p
p x m
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Question # 9
System of linear equation 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 # 10
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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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
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 13
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Question # 14
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 15
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all are correct
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Question # 16
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 17
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A
-A
A
t
A
-
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Question # 18
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all
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Question # 19
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 20
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 # 21
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16
256
64
1024
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Question # 22
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Question # 23
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 # 24
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 25
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3K
K2
K3
K
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Question # 26
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Question # 27
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 28
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1
-1
0
I
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Question # 29
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Question # 30
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16
None of these
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Question # 31
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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