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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 2
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 # 3
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Question # 4
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0
1
-A
-1
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Question # 5
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 6
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Question # 7
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0
1
2
4
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Question # 8
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2
4
6
8
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Question # 9
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 10
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I
14 I
0
None of these
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Question # 11
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 12
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 # 13
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16
256
64
1024
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Question # 14
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 15
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 # 16
A square matrix A = [aij] is lower triangular matrix when
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aij = 0 for all i<j
bij = 0
cij = 0
dij = 0
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Question # 17
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 # 18
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 19
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 20
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 # 21
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5
-5
none
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Question # 22
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Question # 23
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
Choose an answer
2 AB
2 BA
A + B
AB
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Question # 24
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 25
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 26
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Question # 27
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 28
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 # 29
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0
abc
1/abc
None of these
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Question # 30
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Question # 31
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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