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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
Cofactor of an element a
ij
is defined by
Choose an answer
(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 2
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 3
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 # 4
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1
0
3
-1
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Question # 5
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 # 6
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 7
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Question # 8
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 9
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 10
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Question # 11
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 # 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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Question # 14
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 # 15
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 16
A square matrix A for which A
t
= A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 17
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Question # 18
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 # 19
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 # 20
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 21
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 22
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 # 23
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4A - 3I
3A - 4I
A - I
None of these
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Question # 24
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all are correct
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Question # 25
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 26
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0
1
-2
10
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Question # 27
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 28
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 29
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 30
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0
1
2
3
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