1
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
$$\pm 5$$
2
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
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A_n=\left[\begin{array}{cc}1-n & n \\ n & 1-n\end{array}\right]$$, then $$\left|A_1\right|+\left|A_2\right|+\ldots .\left|A_{2021}\right|=$$

A
$$-2021$$
B
$$-(2021)^2$$
C
$$(2021)^2$$
D
$$4042$$
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ccc}1 & -2 & 1 \\ 2 & 1 & 3\end{array}\right]$$

$$ B=\left[\begin{array}{ll}2 & 1 \\ 3 & 2 \\ 1 & 1\end{array}\right]$$, then $$(A B)^{\prime}$$ is equal to

A
$$\left[\begin{array}{cc}-3 & -2 \\ 10 & 7\end{array}\right]$$
B
$$\left[\begin{array}{cc}-3 & 10 \\ -2 & 7\end{array}\right]$$
C
$$\left[\begin{array}{ll}-3 & 7 \\ 10 & 2\end{array}\right]$$
D
$$\left[\begin{array}{cc}-3 & 7 \\ 10 & -2\end{array}\right]$$
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