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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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Question # 2
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 # 3
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1
0
-1
2
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Question # 4
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 # 5
If A is singular then |A| = ______
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1
0
2
None of these
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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
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0
1
2
3
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Question # 8
A matrix with a single row is called a
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Column matrix
Row matrix
Null matrix
Identity matrix
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Question # 9
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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 # 10
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 # 11
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 # 12
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Question # 13
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2s
2
2s
3
s
3
3s
3
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Question # 14
The matrix A is Hermitian when (A)' =
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A
-A
A
A'
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Question # 15
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Question # 16
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Question # 17
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 # 18
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0
1
-2
10
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Question # 19
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 20
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Question # 21
For non-trival solution |A| is
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non zero
A = 0
|A| = 0
At = 0
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Question # 22
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Question # 23
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 24
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Question # 25
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-a -b -c
1
0
-1
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Question # 26
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 27
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 28
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 29
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 30
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 31
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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