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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 2
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 3
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Question # 4
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-3
-7
1
0
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Question # 5
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 # 6
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Question # 7
If A = [aij]mxpand B =[aij]pxnthen order of BA is
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m x n
p x n
n x m
None of these
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Question # 8
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0
Independent of a
Independent of b
Independent of c
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Question # 9
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 10
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0
1
2
3
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Question # 11
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 12
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Question # 13
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 14
If A is any matrix then its additive inverse is
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A
A
-1
A
t
-A
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Question # 15
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 16
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 # 17
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all
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Question # 18
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Question # 19
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 20
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 21
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 # 22
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Triangular matrix
Identity matrix
Diagonal matrix
Scalar matrix
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Question # 23
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 24
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Question # 25
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all are correct
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Question # 26
A and B be two square matrices and if their inverse exist the (AB)-1 =
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A-1 B-1
AB-1
A-1B
B-1A-1
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Question # 27
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Question # 28
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 # 29
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 30
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-a -b -c
1
0
-1
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Question # 31
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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