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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
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 # 2
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 3
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 4
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 # 5
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 6
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-3
-7
1
0
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Question # 7
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Question # 8
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 9
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 # 10
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 11
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 12
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 # 13
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a = 2, b = 3
a = 3, b = 2
a = 2, b = 1, 2
a = 3, b = 3
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Question # 14
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Question # 15
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Singular
Non-singular
Adjoint
None of above
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Question # 16
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 # 17
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 18
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I3
rI3
r
none
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Question # 19
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 20
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Question # 21
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