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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
Which of the following is an identity matrix?
Choose an answer
none of these
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Question # 2
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 # 3
The square matrix A is skew Hermitian when (A)'=
Choose an answer
A
A'
-A
A
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Question # 4
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 5
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all
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Question # 6
Choose an answer
5
15
10
20
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Question # 7
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 8
Choose an answer
a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 9
Choose an answer
1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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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
For non-trival solution |A| is
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non zero
A = 0
|A| = 0
At = 0
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Question # 12
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Question # 13
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A
-A
A
t
A
-
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Question # 14
Which of the following is skew symmetric matrix
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Question # 15
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 16
Choose an answer
2 x 2
2 x 3
3 x 2
3 x 3
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Question # 17
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
Choose an answer
BA
A2
AB
B2
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Question # 18
Cofactor of an element a
ij
is defined by
Choose an answer
(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 19
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 20
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 21
Choose an answer
A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 22
Choose an answer
0
1
2
3
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Question # 23
Choose an answer
(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 24
If A and B are skew-symmetric then (AB)t is
Choose an answer
At Bt
AB
-AB
BA
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Question # 25
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Question # 26
The matrix A is Hermitian when (A)' =
Choose an answer
A
-A
A
A'
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Question # 27
Choose an answer
a = 4, b = 1
a = 1, b = -4
a = 0, b = 4
a = 2, b = 4
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Question # 28
Choose an answer
A
-
A
t
-A
A
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Question # 29
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Question # 30
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 31
A square matrix A = [aij] is upper triangular when
Choose an answer
cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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