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Online Tests
Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix
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A2
A5
A3
A7
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Question # 2
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all are correct
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Question # 3
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Question # 4
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Question # 5
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 # 6
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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 # 7
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 # 8
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k3
0
3k
k6
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Question # 9
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 10
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Question # 11
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 # 12
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a = 4, b = 1
a = 1, b = -4
a = 0, b = 4
a = 2, b = 4
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Question # 13
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I3
rI3
r
none
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Question # 14
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0
abc
1/abc
None of these
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Question # 15
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Question # 16
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Question # 17
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9/4
4/9
1
None of these
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Question # 18
Which of the following is skew symmetric matrix
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Question # 19
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 20
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A
-
A
t
-A
A
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Question # 21
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5
15
10
20
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Question # 22
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 # 23
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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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
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 # 26
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I
|A|
|A| I
None of these
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Question # 27
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 28
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I
14 I
0
None of these
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Question # 29
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Question # 30
Which of the following is an identity matrix?
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none of these
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Question # 31
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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