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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers
Question # 1
Two matrices A and B are conformable for the product AB if
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Both A and B are square
Both A and B are symmetric
Number of rows of A = number of columns of B
Number of columns of A = number of rows of B
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Question # 2
If A = |aij| is (m x n) matrix then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 3
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 4
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 5
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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 # 6
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 7
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 8
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 # 9
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 # 10
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 11
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Question # 12
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 # 13
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 14
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 15
Which of the following is skew symmetric matrix
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Question # 16
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Question # 17
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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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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 21
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 # 22
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5
-5
none
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Question # 23
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3K
K2
K3
K
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Question # 24
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 25
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 26
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Question # 27
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 # 28
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 29
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 30
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Question # 31
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k3
0
3k
k6
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