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Quiz 1
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\(\left|\begin{array}{lll} 3 & 4 & 5 \\0 & 2 & 3 \\0 & 0 & 7\end{array}\right|\) = A then |A| = ?
0%
40
0%
50
0%
42
0%
15
Explanation
42
For any unit matrix I
0%
I² = I
0%
|I| = 0
0%
|I| = 2
0%
|I| = 5
Explanation
I² = I
A matrix A = [a] is said to be symmetric if
0%
a = 0
0%
a = a
0%
a = 1
0%
None of the above
Explanation
a = a
A = [a] is a square matrix if
0%
m = n
0%
m < n
0%
m > n
0%
None of these
Explanation
m = n
If A and B are square matrices then (AB)’ =
0%
B’A’
0%
A’B’
0%
AB’
0%
A’B’
Explanation
B’A’
If \(\left|\begin{array}{ll}x & 8 \\3 & 3\end{array}\right|\) = 0, the value of x is
0%
3
0%
8
0%
24
0%
0
Explanation
8
If A = \(\left[\begin{array}{cc}α & 2 \\2 & α\end{array}\right]\) and |A³| = 25 then α is
0%
±3
0%
±2
0%
±5
0%
0
Explanation
±3
A² – A + I = 0 then the inverse of A
0%
A
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A + I
0%
I – A
0%
A – I
Explanation
I – A
If a matrix is both symmetric matrix and skew symmetric matrix then
0%
A is a diagonal matrix
0%
A is zero matrix
0%
A is scalar matrix
0%
None of these
Explanation
A is zero matrix
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is
0%
9
0%
27
0%
81
0%
512
Explanation
512
If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is
0%
m × 3
0%
3 × 3
0%
m × n
0%
3 × n
Explanation
3 × n
If matrix A = [a] where a= {\(_{0 if i = j}^{1 if i ≠ j}\) then A² is equal to
0%
I
0%
A
0%
O
0%
None of these
Explanation
I
If A is matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is
0%
m × m
0%
n × n
0%
n × m
0%
m × n
Explanation
m × n
If A and B are matrices of same order, then (AB’ – BA’) is a
0%
skew symmetric matrix
0%
null matrix
0%
symmetric matrix
0%
unit matrix
Explanation
skew symmetric matrix
If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to
0%
A
0%
I – A
0%
I + A
0%
3 A
Explanation
A
For any two matrices A and B, we have
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AB = BA
0%
AB ≠ BA
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AB = 0
0%
None of these
Explanation
None of these
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is
0%
18
0%
512
0%
81
0%
None of these
Explanation
512
A square matrix A = [a]is called a diagonal matrix if a= 0 for
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i = j
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i < j
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i > j
0%
i ≠ j
Explanation
i ≠ j
A square matrix A = [a] is called a lower triangular matrix if a = 0 for
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i = j
0%
i < j
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i > j
0%
None of these
Explanation
i < j
The matrix A = \(\left[\begin{array}{cc}0 & 1 \\1 & 0\end{array}\right]\) is a
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unit matrix
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diagonal matrix
0%
symmetric matrix
0%
skew symmetric matrix
Explanation
symmetric matrix
0 h : 0 m : 1 s
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