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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 2
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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Question # 3
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 4
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 5
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 6
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K/6
2K
3K
6K
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Question # 7
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 # 8
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A
-A
A
t
A
-
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Question # 9
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 10
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 # 11
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Question # 12
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 13
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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 # 14
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 15
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 # 16
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 # 17
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 18
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a = 2, b = 3
a = 3, b = 2
a = 2, b = 1, 2
a = 3, b = 3
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Question # 19
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 20
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3K
K2
K3
K
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Question # 21
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 # 22
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16
None of these
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Question # 23
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 # 24
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Question # 25
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 26
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 27
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 # 28
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 29
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 30
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 31
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5
15
10
20
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