Find A2. (Note: A2 = AA.) $A = \left[ \begin{array} { c c }
4 & 5 \
- 4 & - 3
\end{array} \right]$
A) $\left[ \begin{array} { c c }
- 4 & 5 \
- 4 & - 11
\end{array} \right]$
B) $\left[ \begin{array} { c c }
16 & 25 \
16 & 9
\end{array} \right]$
C) $\left[ \begin{array} { c c }
- 4 & - 4 \
5 & - 11
\end{array} \right]$
D) $\left[ \begin{array} { l l }
16 & 5 \
- 4 & 9
\end{array} \right]$
E)not possible

Question

Find A2. (Note: A2 = AA.) $A = \left[ \begin{array} { c c } 
4 & 5 \
- 4 & - 3
\end{array} \right]$
A) $\left[ \begin{array} { c c } 
- 4 & 5 \
- 4 & - 11
\end{array} \right]$
B) $\left[ \begin{array} { c c } 
16 & 25 \
16 & 9
\end{array} \right]$
C) $\left[ \begin{array} { c c } 
- 4 & - 4 \
5 & - 11
\end{array} \right]$
D) $\left[ \begin{array} { l l } 
16 & 5 \
- 4 & 9
\end{array} \right]$
E)not possible

Quizplus · Accepted Answer

To find $A^2$, we multiply matrix $A$ by itself: $$A^2 = A \times A = \left[ \begin{array} { c c } 4 & 5 \ -4 & -3 \end{array} \right] \times \left[ \begin{array} { c c } 4 & 5 \ -4 & -3 \end{array} \right]$$ The resulting matrix is $\left[ \begin{array} { c c } -4 & 5 \ -4 & -11 \end{array} \right]$, which matches option A.

Find A2 (Note: A2 = AA A=[45−4−3]A = \left[ \begin{array} { c c } 4 & 5 \\- 4 & - 3\end{array} \right]A=[4−4​5−3​]

Find A2 (Note: A2 = AA $A = \left[ \begin{array} { c c } 4 & 5 \\- 4 & - 3\end{array} \right]$