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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers
Question # 1
Choose an answer
I
|A|
|A| I
None of these
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Question # 2
A matrix with a single column is called
Choose an answer
Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 3
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 4
For non-trival solution |A| is
Choose an answer
non zero
A = 0
|A| = 0
At = 0
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Question # 5
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 # 6
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 # 7
For trival solution |A| is
Choose an answer
A
|A| = 0
A = 0
|A|≠ 0
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Question # 8
The matrix A is Hermitian when (A)' =
Choose an answer
A
-A
A
A'
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Question # 9
We also 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 # 10
Choose an answer
3 x 1
1 x 3
3 x 3
1 x 1
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Question # 11
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 # 12
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5
15
10
20
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Question # 13
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Question # 14
If for the matrix A, A
5
= I, then A
-1
=
Choose an answer
A
2
A
3
A
None of above
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Question # 15
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 16
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-a -b -c
1
0
-1
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Question # 17
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 # 18
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 # 19
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Question # 20
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 21
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 # 22
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 23
We solve the system of non-homogeneous linear equations by
Choose an answer
a and b
b and c
c and a
a,b and c
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Question # 24
Minor of an element a
ij
is denoted by
Choose an answer
M
ij
A
ij
|A|
None of these
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Question # 25
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 26
The square matrix A is skew Hermitian when (A)'=
Choose an answer
A
A'
-A
A
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Question # 27
Choose an answer
0
1
2
4
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Question # 28
For non-trival solution |A| is
Choose an answer
A = 0
A
t
= 0
|A| = 0
None of these
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Question # 29
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16
None of these
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Question # 30
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 31
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