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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 2
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 # 3
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 4
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Question # 5
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 6
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5
-5
none
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Question # 7
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 # 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
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k3
0
3k
k6
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Question # 10
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 # 11
A matrix in which the number of rows is not 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 # 12
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 13
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 14
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 # 15
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 # 16
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0
abc
1/abc
None of these
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Question # 17
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 # 18
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 19
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Question # 20
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 21
Which of the following is skew symmetric matrix
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Question # 22
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 23
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 24
Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for
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BA
A
2
AB
B
2
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Question # 25
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I
|A|
|A| I
None of these
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Question # 26
The additive inverse of a matrix A is
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None of these
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Question # 27
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I3
rI3
r
none
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Question # 28
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 29
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 # 30
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K/6
2K
3K
6K
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Question # 31
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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