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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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Question # 2
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 # 3
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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Question # 4
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 5
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 6
Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for
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BA
A
2
AB
B
2
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Question # 7
If A is a non singular matrix then A
-1
= ______
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Question # 8
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Question # 9
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 10
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0
abc
1/abc
None of these
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Question # 11
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Question # 12
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 13
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 14
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 15
We also 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 # 16
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I3
rI3
r
none
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Question # 17
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0
Independent of a
Independent of b
Independent of c
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Question # 18
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 # 19
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 20
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 # 21
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 # 22
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Question # 23
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 # 24
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 # 25
If order of A is m x n, then order of A
t
is
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m x m
n x n
m x n
n x m
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Question # 26
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all are correct
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Question # 27
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 # 28
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 # 29
A matrix with a single row is called a
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Column matrix
Row matrix
Null matrix
Identity matrix
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Question # 30
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