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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
If A is a non singular matrix then A
-1
= ______
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Question # 2
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 3
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2s
2
2s
3
s
3
3s
3
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Question # 4
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Question # 5
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 # 6
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0
1
2
3
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Question # 7
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 # 8
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Question # 9
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 # 10
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 # 11
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2
4
6
8
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Question # 12
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 # 13
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 # 14
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A
-A
A
t
A
-
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Question # 15
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 16
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0
Independent of a
Independent of b
Independent of c
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Question # 17
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 18
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 # 19
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 20
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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 # 21
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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