1
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
$$\left[\begin{array}{ccc}3 & -5 & 5 \\ -1 & -6 & -2 \\ 1 & -5 & 2\end{array}\right]$$
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If $$P$$ and $$Q$$ are symmetric matrices of the same order then $$P Q-Q P$$ is

A
zero matrix
B
identity matrix
C
skew-symmetric matrix
D
symmetric matrix
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If $$3 A+4 B^{\prime}=\left[\begin{array}{ccc}7 & -10 & 17 \\ 0 & 6 & 31\end{array}\right]$$ and $$2 B+3 A^{\prime}\left[\begin{array}{cc}-1 & 18 \\ 4 & 0 \\ -5 & -7\end{array}\right]$$ then $$B=$$

A
$$\left[\begin{array}{cc}-1 & -18 \\ 4 & -16 \\ -5 & -7\end{array}\right]$$
B
$$\left[\begin{array}{cc}1 & 3 \\ -1 & 1 \\ 2 & 4\end{array}\right]$$
C
$$\left[\begin{array}{cc}1 & 3 \\ -1 & 1 \\ 2 & -4\end{array}\right]$$
D
$$\left[\begin{array}{cc}1 & -3 \\ -1 & 1 \\ 2 & 4\end{array}\right]$$
4
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ll}1 & 3 \\ 4 & 2\end{array}\right], B=\left[\begin{array}{cc}2 & -1 \\ -1 & 2\end{array}\right]$$, Then $$\left|A B B^{\prime}\right|=$$

A
100
B
50
C
250
D
$$-$$250
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