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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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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 2
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 3
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Question # 4
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9/4
4/9
1
None of these
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Question # 5
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 6
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 7
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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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
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 10
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 11
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0
1
-2
10
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Question # 12
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 13
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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 # 14
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 15
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 16
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5
15
10
20
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Question # 17
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 # 18
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 # 19
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Question # 20
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1
0
-1
2
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Question # 21
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0
abc
1/abc
None of these
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Question # 22
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Question # 23
If A is any matrix then its additive inverse is
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A
A
-1
A
t
-A
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Question # 24
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 25
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 26
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
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2 AB
2 BA
A + B
AB
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Question # 27
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 # 28
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 29
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2
4
6
8
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Question # 30
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 # 31
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