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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
In order of A is m x n and order of B is n x p then order of AB is
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m x m
n x n
m x p
p x m
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Question # 2
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 3
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 4
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 5
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 6
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 7
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 8
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-1B
B-1A-1
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Question # 9
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 10
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 11
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1
-1
0
I
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Question # 12
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 13
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 14
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2
4
6
8
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Question # 15
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Question # 16
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 17
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 # 18
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 19
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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Question # 20
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 # 21
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 # 22
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 # 23
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 24
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 25
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 # 26
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K/6
2K
3K
6K
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Question # 27
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 # 28
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 # 29
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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Question # 30
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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Question # 31
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A
-A
A
t
A
-
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