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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 2
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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
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 5
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 # 6
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 7
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 # 8
Which of the following is skew symmetric matrix
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Question # 9
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 10
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Question # 11
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Question # 12
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16
256
64
1024
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Question # 13
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 14
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 # 15
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I3
rI3
r
none
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Question # 16
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-a -b -c
1
0
-1
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Question # 17
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K/6
2K
3K
6K
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Question # 18
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 19
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 20
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 21
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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