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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
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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
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0
Independent of a
Independent of b
Independent of c
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Question # 4
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 5
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all are correct
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Question # 6
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I
|A|
|A| I
None of these
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Question # 7
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 # 8
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1
-1
0
I
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Question # 9
If A is a non singular matrix then A
-1
= ______
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Question # 10
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Question # 11
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1
0
3
-1
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Question # 12
A matrix with a single row is called a
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Column matrix
Row matrix
Null matrix
Identity matrix
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Question # 13
If for the matrix A,A5 = 1,then A-1=
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A2
A3
A
None of above
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Question # 14
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 # 15
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 16
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Question # 17
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 18
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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 # 19
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9/4
4/9
1
None of these
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Question # 20
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 21
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 22
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 23
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Question # 24
If order of A is m x n, then order of A
t
is
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m x m
n x n
m x n
n x m
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Question # 25
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Question # 26
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 # 27
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1
0
-1
2
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Question # 28
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 # 29
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 30
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-a -b -c
1
0
-1
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Question # 31
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Orthogonal
Involutary
Idempotent
Nilpotent
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