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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 2
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 3
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Question # 4
If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is
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1 x 1
1 x 10
10 x 10
10 x 1
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Question # 5
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K/6
2K
3K
6K
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Question # 6
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 # 7
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0
1
2
3
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Question # 8
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 9
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Question # 10
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Question # 11
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 12
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 # 13
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 14
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 # 15
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 16
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Question # 17
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 18
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 # 19
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5
-5
none
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Question # 20
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 21
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Question # 22
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 23
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 24
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 # 25
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 # 26
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 # 27
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Question # 28
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Question # 29
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3K
K2
K3
K
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Question # 30
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 # 31
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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