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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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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 2
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 # 3
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 # 4
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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
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 # 7
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Question # 8
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Question # 9
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Question # 10
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 11
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Question # 12
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 # 13
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5
-5
none
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Question # 14
Which of the following is an identity matrix?
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none of these
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Question # 15
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 # 16
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 17
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 # 18
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 # 19
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 # 20
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Question # 21
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 22
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 23
The additive inverse of a matrix A is
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None of these
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Question # 24
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 # 25
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Question # 26
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 27
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1
0
3
-1
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Question # 28
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 # 29
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 30
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Question # 31
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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