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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 2
If A is a non singular matrix then A
-1
= ______
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Question # 3
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At
-A
A
A-1
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Question # 4
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 5
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 6
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 7
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5
15
10
20
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Question # 8
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 9
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Question # 10
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 11
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K/6
2K
3K
6K
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Question # 12
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1
0
-1
2
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Question # 13
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Question # 14
Which of the following is an identity matrix?
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none of these
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Question # 15
If A = |aij| is (m x n) matrix then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 16
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 # 17
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 # 18
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 19
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 20
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 21
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Question # 22
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A
-A
A
t
A
-
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Question # 23
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I
14 I
0
None of these
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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 matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 26
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 # 27
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 28
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Question # 29
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 # 30
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 # 31
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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