If A^T= [ rr 3 & 4 -1 & 2 0 & 1 ] and B= [ rrr -1 & 2 & 1 1 & 2 &… - Vidyadip

MCQ

If $A^T=\left[\begin{array}{rr}3 & 4 \\ -1 & 2 \\ 0 & 1\end{array}\right]$ and $B=\left[\begin{array}{rrr}-1 & 2 & 1 \\ 1 & 2 & 3\end{array}\right]$, then find $A^T-B^T$.

✓
$\left[\begin{array}{rr}4 & 3 \\ -3 & 0 \\ -1 & -2\end{array}\right]$
B
$\left[\begin{array}{ll}4 & 3 \\ 3 & 0 \\ 1 & 2\end{array}\right]$
C
$\left[\begin{array}{rr}4 & 0 \\ -1 & -3 \\ 3 & -2\end{array}\right]$
D
$\left[\begin{array}{rr}1 & -3 \\ 2 & 4 \\ 3 & 5\end{array}\right]$

✓

Answer

Correct option: A.

$\left[\begin{array}{rr}4 & 3 \\ -3 & 0 \\ -1 & -2\end{array}\right]$

(a) : $B^T=\left[\begin{array}{rr}-1 & 1 \\ 2 & 2 \\ 1 & 3\end{array}\right]$
So, $\quad A^T-B^T=\left[\begin{array}{cc}3 & 4 \\ -1 & 2 \\ 0 & 1\end{array}\right]-\left[\begin{array}{cc}-1 & 1 \\ 2 & 2 \\ 1 & 3\end{array}\right]=\left[\begin{array}{cc}4 & 3 \\ -3 & 0 \\ -1 & -2\end{array}\right]$

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