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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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5
-5
none
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Question # 2
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 3
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Question # 4
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 # 5
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Question # 6
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 7
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 8
Which of the following is skew symmetric matrix
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Question # 9
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Question # 10
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 # 11
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 12
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Question # 13
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 # 14
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4A - 3I
3A - 4I
A - I
None of these
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Question # 15
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 16
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 17
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 18
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 19
Cofactor of an element a
ij
is defined by
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(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 20
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 21
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16
256
64
1024
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Question # 22
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 # 23
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I
14 I
0
None of these
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Question # 24
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0
Independent of a
Independent of b
Independent of c
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Question # 25
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 26
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 27
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Question # 28
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 29
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 30
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all are correct
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