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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
Choose an answer
AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 2
Choose an answer
all
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Question # 3
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Question # 4
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all are correct
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Question # 5
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 6
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 # 7
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Question # 8
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 # 9
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Question # 10
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 11
If A is any matrix then its additive inverse is
Choose an answer
A
A
-1
A
t
-A
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Question # 12
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all are correct
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Question # 13
We solve the system of non-homogeneous linear equations by
Choose an answer
a and b
b and c
c and a
a,b and c
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Question # 14
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
Choose an answer
2 AB
2 BA
A + B
AB
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Question # 15
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 16
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 # 17
Choose an answer
-a -b -c
1
0
-1
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Question # 18
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 19
Choose an answer
x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 20
Rank of matrix [1 3 5 0] is
Choose an answer
1
3
2
4
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Question # 21
The matrix A = [aij]mxn with m≠n is
Choose an answer
Rectangular
Symmetric
Square
None
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Question # 22
Choose an answer
0
abc
1/abc
None of these
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Question # 23
(ABC)' =
Choose an answer
CBA'
CBA
C' B' A'
None of these
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Question # 24
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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 # 25
For non-trival solution |A| is
Choose an answer
non zero
A = 0
|A| = 0
At = 0
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Question # 26
Choose an answer
2 x 2
2 x 3
3 x 2
3 x 3
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Question # 27
For non-trival solution |A| is
Choose an answer
A = 0
A
t
= 0
|A| = 0
None of these
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Question # 28
Choose an answer
(2x4)
(2x7)
(2x3)
(7x2)
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Question # 29
Choose an answer
-3
-7
1
0
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Question # 30
If there are m rows and n columns in a matrix then its order is
Choose an answer
m x n
m x m
n x n
n x m
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Question # 31
If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix
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A2
A5
A3
A7
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