Let A= | ll 1 & 0 0 & 0 |, then - Vidyadip

MCQ

Let $A=\left|\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right|$, then

A
$A^2=0$
✓
$A^2=A$
C
$A^2=I$
D
$A^2=4$

✓

Answer

Correct option: B.

$A^2=A$

(b) $A ^2= A$
Explanation: $A =\left|\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right|$, then $A ^2=\left|\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right|\left|\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right|=\left|\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right|= A$

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