Matrix Arithmetic: Computing the Square of a Matrix

Matrix Arithmetic: Computing the Square of a Matrix

Secondary 4

Given that \(A = \begin{pmatrix} -2 & 1 \\ -1 & 4 \end{pmatrix}\), \(B = \begin{pmatrix} 3 & 1 \\ -2 & -5 \end{pmatrix}\) and \(C = \begin{pmatrix} 3 & -1 \\ 4 & -2 \end{pmatrix}\), write \(AB + C^2\) as a single matrix.

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Answer:\(\begin{pmatrix}-3&-8\\-7&-21\end{pmatrix}\)

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