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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
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 # 2
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0
1
-A
-1
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Question # 3
Which of the following is skew symmetric matrix
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Question # 4
We solve 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 # 5
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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
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Question # 8
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 9
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-3
-7
1
0
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Question # 10
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 # 11
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Question # 12
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Question # 13
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0
1
-2
10
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Question # 14
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 15
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 16
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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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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Question # 19
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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Question # 20
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 21
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4A - 3I
3A - 4I
A - I
None of these
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Question # 22
If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is
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1 x 1
1 x 10
10 x 10
10 x 1
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Question # 23
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 # 24
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 25
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Question # 26
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 27
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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 # 28
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A
-A
A
t
A
-
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Question # 29
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 # 30
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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