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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 2
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0
1
-A
-1
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Question # 3
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 4
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Question # 5
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 6
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Question # 7
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 # 8
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Question # 9
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Question # 10
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 11
If A is a non singular matrix then A
-1
= ______
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Question # 12
A matrix in which the number of rows is 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 # 13
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 14
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 15
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 16
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all
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Question # 17
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 18
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Question # 19
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 20
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Question # 21
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16
None of these
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Question # 22
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 23
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 24
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 25
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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Question # 26
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2s
2
2s
3
s
3
3s
3
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Question # 27
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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 # 28
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0
Independent of a
Independent of b
Independent of c
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Question # 29
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 30
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3K
K2
K3
K
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Question # 31
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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