1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If $$A = \left[ {\matrix{ a & 0 & 0 \cr 0 & a & 0 \cr 0 & 0 & a \cr } } \right]$$, then $$|A||adj\,A|$$ is equal to

A
$${a^{3n}}$$
B
$${a^{-3n}}$$
C
$${-a^{3n}}$$
D
$${2a^{3n}}$$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If $$A = \left[ {\matrix{ {2 - k} & 2 \cr 1 & {3 - k} \cr } } \right]$$ is a singular matrix, then the value of $$5k - {k^2}$$ is

A
0
B
6
C
$$-$$6
D
4
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If for any 2 $$\times$$ 2 square matrix A, A (adj A) = $$\left[ {\matrix{ 8 & 0 \cr 0 & 8 \cr } } \right]$$, then the value of det (A).

A
6
B
5
C
7
D
8
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If matrix $$A = \left[ {\matrix{ 2 & { - 2} \cr { - 2} & 2 \cr } } \right]$$ and $${A^2} = pA$$, then the value of $$p$$ is

A
6
B
$$-$$4
C
4
D
8
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