left[begin{array}{ccc} 1 & 2 & 3 -1 & 1 & 2 | vedclass

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(C) Let $A = \left[\begin{array}{ccc} 1 & 2 & 3 \ -1 & 1 & 2 \ 3 & 0 & 2 \end{array}ight]$ and $B = \left[\begin{array}{cc} 2022 & 2024 \ 2021 &

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$\left[\begin{array}{ccc} 8 & 4 & 13 \ 4 & -1 & 3 \ 9 & 6 & 13 \end{array}ight]$

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(C) Let $A = \left[\begin{array}{ccc} 1 & 2 & 3 \ -1 & 1 & 2 \ 3 & 0 & 2 \end{array}ight]$ and $B = \left[\begin{array}{cc} 2022 & 2024 \ 2021 & 2023 \end{array}ight]$.The exponent is the determinant $|B| = (2022 	imes 2023) - (2024 	imes 2021)$.Using the property $|B| = (2022 	imes 2023) - ((2022+2) 	imes (2022-1)) = 2022 	imes 2023 - (2022^2 + 2022 - 2) = 2022(2023 - 2022 - 1) + 2 = 2$.Thus,we need to calculate $A^2$.$A^2 = \left[\begin{array}{ccc} 1 & 2 & 3 \ -1 & 1 & 2 \ 3 & 0 & 2 \end{array}ight] 	imes \left[\begin{array}{ccc} 1 & 2 & 3 \ -1 & 1 & 2 \ 3 & 0 & 2 \end{array}ight]$$= \left[\begin{array}{ccc} (1-2+9) & (2+2+0) & (3+4+6) \ (-1-1+6) & (-2+1+0) & (-3+2+4) \ (3+0+6) & (6+0+0) & (9+0+4) \end{array}ight] = \left[\begin{array}{ccc} 8 & 4 & 13 \ 4 & -1 & 3 \ 9 & 6 & 13 \end{array}ight]$.

$\left[\begin{array}{ccc} 1 & 2 & 3 \\ -1 & 1 & 2 \\ 3 & 0 & 2 \end{array}\right]^{\left|\begin{array}{cc} 2022 & 2024 \\ 2021 & 2023 \end{array}\right|}$ is equal to

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