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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 2
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Question # 3
The additive inverse of a matrix A is
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None of these
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Question # 4
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 # 5
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 6
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 # 7
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 # 8
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Question # 9
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 10
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
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2 AB
2 BA
A + B
AB
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Question # 11
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 # 12
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 13
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 # 14
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 15
If A is a non singular matrix then A
-1
= ______
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Question # 16
A square matrix A = [aij] is lower triangular matrix when
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aij = 0 for all i<j
bij = 0
cij = 0
dij = 0
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Question # 17
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 # 18
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 19
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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 # 20
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 # 21
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Question # 22
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Question # 23
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 24
Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for
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BA
A
2
AB
B
2
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Question # 25
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5
-5
none
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Question # 26
A square matrix A = [aij] is lower triangular matrix when:
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aij = 0 for all i < j
bij = 0
cij = 0
dij =0
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Question # 27
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Question # 28
If for the matrix A,A5 = 1,then A-1=
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A2
A3
A
None of above
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Question # 29
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 30
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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