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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 2
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 3
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-a -b -c
1
0
-1
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Question # 4
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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
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Question # 7
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 8
Which of the following is an identity matrix?
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none of these
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Question # 9
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A
-
A
t
-A
A
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Question # 10
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k3
0
3k
k6
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Question # 11
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Question # 12
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 # 13
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 14
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Question # 15
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I3
rI3
r
none
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Question # 16
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 # 17
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 18
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 19
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 # 20
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Scalar matrix
Identity matrix
Null matrix
Symmetric 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
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 # 23
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 # 24
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 # 25
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 26
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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 # 27
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1
-1
0
I
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Question # 28
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 29
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0
Independent of a
Independent of b
Independent of c
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Question # 30
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 31
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