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Online Tests
11th Class FA Mathematics Chapter 3 Online Test MCQs With Answers
Question # 1
If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is:
Choose an answer
|A|
3
27|A|
3|A|
9|A|
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Question # 2
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1
-5
-1
none
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Question # 3
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singular
non-singular
rectangular
null
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Question # 4
If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:
Choose an answer
0
1
-1
±1
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Question # 5
If A is a square matrix order 3 × 3 the |kA| equals:
Choose an answer
k |A|
k
2
|A|
k
3
|A|
k
4
|A|
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Question # 6
A
-1
exists if A is:
Choose an answer
singular
nonsingular
symmetric
none
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Question # 7
Choose an answer
scalar matrix
diagonalmatrix
triangularmatrix
none of these
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Question # 8
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Question # 9
For a square matrix A, |A| equals:
Choose an answer
A
t
|A
t
|
-|A
t
|
-A
t
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Question # 10
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ab - cd = 0
ac - bd = 0
ad - bc = 1
ad - bc = 0
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Question # 11
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diagonal matrix
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Question # 12
[0] is a:
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Question # 13
If A = [a
ij
], B = [b
ij
] and AB = 0 then:
Choose an answer
A = 0
B = 0
either A = 0 or B = 0
A & B not necessarily zero
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Question # 14
If any two rows of a square matrix are interchanged, the determinant of the resulting matrix:
Choose an answer
is zero
is multiplicative inverse of the determinant of the original matrix
is additive inverse of the determinant the original matrix
none of these
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Question # 15
Choose an answer
5
-5
-4
4
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Question # 16
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None
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Question # 17
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5
14
20
6
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Question # 18
If A is non singular matrix then A
t
is:
Choose an answer
singular
nonsingular
symmetric
none
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Question # 19
A matrix in which each element is 0 is called:
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Question # 20
If A is a square matrix, then:
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|A
t
| = A
|A
t
| = -A
|A
t
| = |A|
A
t
= A
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