1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are square matrices of same order and $$B$$ is a skew symmetric matrix, then $$A^{\prime} B A$$ is

A
Symmetric matrix
B
Null matrix
C
Diagonal matrix
D
Skew symmetric matrix
2
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$A$$ is a square matrix of order 3 and $$|A|=5$$, then $$\mid A$$ adj. $$A \mid$$ is

A
5
B
125
C
25
D
625
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$a_1 a_2 a_3 \ldots a_9$$ are in AP, then the value of $$\left|\begin{array}{lll}a_1 & a_2 & a_3 \\ a_4 & a_5 & a_6 \\ a_7 & a_8 & a_9\end{array}\right|$$ is

A
$$\frac{9}{2}\left(a_1+a_9\right)$$
B
$$\left(a_1+a_9\right)$$
C
$$\log _e\left(\log _e e\right)$$
D
1
4
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The inverse of the matrix $$\left[\begin{array}{ccc}2 & 5 & 0 \\ 0 & 1 & 1 \\ -1 & 0 & 3\end{array}\right]$$ is

A
$$\left[\begin{array}{ccc}3 & -15 & 5 \\ -1 & 6 & -2 \\ 1 & -5 & 2\end{array}\right]$$
B
$$\left[\begin{array}{ccc}3 & -1 & 1 \\ -15 & 6 & -5 \\ 5 & -2 & 2\end{array}\right]$$
C
$$\left[\begin{array}{ccc}3 & -15 & 5 \\ -1 & 6 & -2 \\ 1 & -5 & -2\end{array}\right]$$
D
$$\left[\begin{array}{ccc}3 & -5 & 5 \\ -1 & -6 & -2 \\ 1 & -5 & 2\end{array}\right]$$
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