If A^2=-1 2 [ cc 1 & -4 -1 & 2 ] then A= - Vidyadip

MCQ

If $A^2=-\frac{1}{2}\left[\begin{array}{cc}1 & -4 \\ -1 & 2\end{array}\right]$ then $A=$

A
$\left[\begin{array}{rr}2 & 4 \\ -1 & 1\end{array}\right]$
B
$\left[\begin{array}{rr}2 & 4 \\ 1 & -1\end{array}\right]$
C
$\left[\begin{array}{rr}2 & -4 \\ 1 & 1\end{array}\right]$
✓
$\left[\begin{array}{rr}2 & 4 \\ 1 & 1\end{array}\right]$

✓

Answer

Correct option: D.

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

$-\frac{1}{2}\left[\begin{array}{ll}2 & 4 \\ 1 & 1\end{array}\right]$

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