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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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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 2
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 3
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-a -b -c
1
0
-1
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Question # 4
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 # 5
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Question # 6
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Question # 7
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 8
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 9
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Question # 10
A = [3] is a/an
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Square matrix
Scalar matrix
Diagonal matrix
Identity matrix
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Question # 11
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 # 12
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Question # 13
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 14
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 15
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 # 16
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 # 17
If A = [a
ij
] 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 # 18
Which of the following is an identity matrix?
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none of these
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Question # 19
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I
|A|
|A| I
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
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Question # 22
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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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
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 25
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 26
A matrix in which the number of rows is 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 # 27
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Question # 28
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I3
rI3
r
none
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Question # 29
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A
-A
A
t
A
-
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Question # 30
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 31
System of linear equation is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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