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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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0
1
-A
-1
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Question # 2
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5
-5
none
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Question # 3
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 4
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 5
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9/4
4/9
1
None of these
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Question # 6
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 7
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 8
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 9
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 # 10
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Question # 11
Which of the following is skew symmetric matrix
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Question # 12
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Question # 13
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 # 14
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 15
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all are correct
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Question # 16
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 17
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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Question # 18
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0
1
-2
10
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Question # 19
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 20
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 # 21
A matrix in which the number of rows is not 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 # 22
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Question # 23
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 # 24
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 25
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 26
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 # 27
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 28
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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 # 29
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 # 30
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 # 31
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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