If A= [ ll 0 & 0 1 & 0 ], then A^2= - Vidyadip

MCQ

If $A=\left[\begin{array}{ll}0 & 0 \\ 1 & 0\end{array}\right]$, then $A^2=$

A
A
✓
$0$
C
I
D
2A

✓

Answer

Correct option: B.

$0$

Given
$
\begin{aligned}
& A=\left[\begin{array}{ll}
0 & 0 \\
1 & 0
\end{array}\right] \\
& A^2=A \times A=\left[\begin{array}{ll}
0 & 0 \\
1 & 0
\end{array}\right] \times\left[\begin{array}{ll}
0 & 0 \\
1 & 0
\end{array}\right] \\
& =\left[\begin{array}{ll}
0+0 & 0+0 \\
0+0 & 0+0
\end{array}\right] \\
& =\left[\begin{array}{ll}
0 & 0 \\
0 & 0
\end{array}\right] \\
& =0 .
\end{aligned}
$

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