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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers
Question # 1
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 2
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 3
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 4
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 5
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 6
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Question # 7
A = [3] is a/an
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Square matrix
Scalar matrix
Diagonal matrix
Identity matrix
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Question # 8
If A = [aij]mxpand B =[aij]pxnthen order of BA is
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m x n
p x n
n x m
None of these
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Question # 9
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 10
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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 # 11
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Question # 12
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Question # 13
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Question # 14
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 15
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 16
System of linear equations is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 17
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 # 18
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K/6
2K
3K
6K
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Question # 19
If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix
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A2
A5
A3
A7
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Question # 20
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5
15
10
20
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Question # 21
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 # 22
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Question # 23
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 24
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 # 25
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 # 26
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Question # 27
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Question # 28
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 # 29
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all are correct
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Question # 30
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 31
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0
abc
1/abc
None of these
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