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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
A square matrix A for which A
t
= A is called a
Choose an answer
Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 2
Choose an answer
16
None of these
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Question # 3
Choose an answer
I
|A|
|A| I
None of these
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Question # 4
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 # 5
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Question # 6
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 7
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 8
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3K
K2
K3
K
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Question # 9
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-a -b -c
1
0
-1
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Question # 10
The additive inverse of a matrix A is
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None of these
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Question # 11
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all are correct
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Question # 12
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 13
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 # 14
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At
-A
A
A-1
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Question # 15
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Question # 16
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Question # 17
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 # 18
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Question # 19
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 20
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 21
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1
0
3
-1
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Question # 22
If A is a non singular matrix then A
-1
= ______
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Question # 23
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 24
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 25
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I3
rI3
r
none
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Question # 26
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Question # 27
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9/4
4/9
1
None of these
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Question # 28
An equation of the form ax + by = k is homogeneous linear equation when
Choose an answer
b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 29
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5
-5
none
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Question # 30
Choose an answer
1
-1
0
I
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Question # 31
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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