Matrix a Is Given $$A = \left[ \begin{array} { l l } 8 & 3 \\3 & 8\end{array} \right]$$

Multiple Choice

Matrix A is given. Find appropriate identity matrices I_m and I_n such that I_mA = A and AI_n = A.
- $$A = \left[ \begin{array} { l l } 8 & 3 \\3 & 8\end{array} \right]$$

A) $\mathrm { I } _ { \mathrm { m } } = \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l } 1 & 1 \\ 1 & 1 \end{array} \right]$
B) $\mathrm { I } _ { \mathrm { m } } = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right] , \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { r r } - 1 & 0 \\ 0 & - 1 \end{array} \right]$
C) $\mathrm { I } _ { \mathrm { m } } = \left[ \begin{array} { l l } 0 & 1 \\ 1 & 0 \end{array} \right] , \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$
D) $\mathrm { I } _ { \mathrm { m } } = \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right]$