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

If $$A$$ is a skew symmetric matrix, then A$$^{2021}$$ is

A
Row matrix
B
Column matrix
C
Symmetric matrix
D
Skew symmetric matrix
2
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ll}0 & 1 \\ 0 & 0\end{array}\right]$$, then $$(a I+b A)^n$$ is (where $$I$$ is the identify matrix of order 2)

A
$$a^2 I+a^{n-1} b \cdot A$$
B
$$a^n I+n \cdot a^{n-1} b \cdot A$$
C
$$a^n I+n a^n b A$$
D
$$a^n I+b^n A$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A$$ is a $$3 \times 3$$ matrix such that $$|5 \cdot \operatorname{adj} A|=5$$, then $$|A|$$ is equal to

A
$$\pm 1$$
B
$$\pm 1 / 25$$
C
$$\pm 1 / 5$$
D
$$\pm 5$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If there are two values of '$$a$$' which makes determinant

$$\Delta=\left|\begin{array}{ccc} 1 & -2 & 5 \\ 2 & a & -1 \\ 0 & 4 & 2 a \end{array}\right|=86$$

Then, the sum of these number is

A
$$-$$4
B
9
C
4
D
5
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