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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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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 2
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 3
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-3
-7
1
0
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Question # 4
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A
-
A
t
-A
A
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Question # 5
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0
abc
1/abc
None of these
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Question # 6
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 # 7
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 # 8
Two matrices A and B are conformable for the product AB if
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Both A and B are square
Both A and B are symmetric
Number of rows of A = number of columns of B
Number of columns of A = number of rows of B
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Question # 9
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2
4
6
8
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Question # 10
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 11
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 # 12
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 13
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 # 14
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-a -b -c
1
0
-1
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Question # 15
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 16
A = [3] is a/an
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Square matrix
Scalar matrix
Diagonal matrix
Identity matrix
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Question # 17
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 18
In order of A is m x n and order of B is n x p then order of AB is
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m x m
n x n
m x p
p x m
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Question # 19
If A = |aij| is (m x n) matrix then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 20
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Question # 21
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 22
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0
1
-A
-1
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Question # 23
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 24
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 25
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Question # 26
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5
-5
none
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Question # 27
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 28
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 29
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Question # 30
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
-1
B
B
-1
A
-1
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Question # 31
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