Two matrix P = [ cc 3 & 4 -1 & 2 0 & 1 ] and Q ^ T = [ rrr -1 & 2… - Vidyadip

MCQ

Two matrix $P =\left[\begin{array}{cc}3 & 4 \\ -1 & 2 \\ 0 & 1\end{array}\right]$ and $Q ^{ T }=\left[\begin{array}{rrr}-1 & 2 & 1 \\ 1 & 2 & 3\end{array}\right]$, Find $P-Q$ :

✓
$\left[\begin{array}{cc}2 & 3 \\ -3 & 0 \\ 0 & 3\end{array}\right]$
B
$\left[\begin{array}{cc}4 & 3 \\ -3 & 0 \\ -1 & -2\end{array}\right]$
C
$\left[\begin{array}{cc}4 & 3 \\ 0 & -3 \\ -1 & -2\end{array}\right]$
D
$\left[\begin{array}{cc}2 & 3 \\ 0 & -3 \\ 0 & -3\end{array}\right]$

✓

Answer

Correct option: A.

$\left[\begin{array}{cc}2 & 3 \\ -3 & 0 \\ 0 & 3\end{array}\right]$

(A)
$
\begin{aligned}
P-Q^T & =\left[\begin{array}{cc}
3 & 4 \\
-1 & 2 \\
0 & 1
\end{array}\right]-\left[\begin{array}{cc}
-1 & 1 \\
2 & 2 \\
1 & 3
\end{array}\right] \\
& =\left[\begin{array}{cc}
3+1 & 4-1 \\
-1-2 & 2-2 \\
0-1 & 1-3
\end{array}\right]=\left[\begin{array}{cc}
4 & 3 \\
-3 & 0 \\
-1 & -2
\end{array}\right]
\end{aligned}
$

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