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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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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 2
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 # 3
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Triangular matrix
Identity matrix
Diagonal matrix
Scalar matrix
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Question # 4
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 5
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 # 6
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 7
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 8
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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 # 9
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 10
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 # 11
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 12
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Question # 13
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 # 14
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Question # 15
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I
|A|
|A| I
None of these
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Question # 16
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 # 17
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 18
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 # 19
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2
4
6
8
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Question # 20
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Question # 21
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 22
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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Question # 23
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 24
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 # 25
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 26
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 # 27
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Singular
Non-singular
Adjoint
None of above
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Question # 28
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 # 29
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 30
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 31
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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