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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
System of linear equations is inconsistent if
Choose an answer
System has no solution
System has one solution
System has two solution
None of above
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Question # 2
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 3
The additive inverse of a matrix A is
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None of these
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Question # 4
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 5
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 6
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Question # 7
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 # 8
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 9
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0
1
-A
-1
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Question # 10
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all are correct
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Question # 11
For non-trival solution |A| is
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non zero
A = 0
|A| = 0
At = 0
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Question # 12
The transpose of a row matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 13
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 14
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16
None of these
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Question # 15
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3K
K2
K3
K
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Question # 16
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 # 17
Which of the following is skew symmetric matrix
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Question # 18
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 19
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 20
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 21
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 22
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-3
-7
1
0
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Question # 23
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2
4
6
8
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Question # 24
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 25
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 # 26
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 27
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 28
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 # 29
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 30
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 31
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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