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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
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 # 2
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 3
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Question # 4
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all
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Question # 5
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 # 6
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 # 7
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5
15
10
20
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Question # 8
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 9
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 10
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 # 11
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 # 12
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 # 13
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0
1
-A
-1
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Question # 14
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 # 15
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0
1
2
3
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Question # 16
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 17
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 # 18
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Question # 19
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Question # 20
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a = 4, b = 1
a = 1, b = -4
a = 0, b = 4
a = 2, b = 4
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Question # 21
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Question # 22
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 23
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Question # 24
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 25
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 26
If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix
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A2
A5
A3
A7
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Question # 27
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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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 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 # 30
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Singular
Non-singular
Adjoint
None of above
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