Operations on Matrices: Products and Powers

Operations on Matrices: Products and Powers

Secondary 4

Given that \(A = \begin{pmatrix} 1 & 0 & 1 \end{pmatrix}\), \(B = \begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix}\) and \(C = \begin{pmatrix} 1 & -2 \\ 2 & 0 \end{pmatrix}\), find

  1. \(AB\),
  2. \(C^2\).

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Answer:(a) \(\begin{pmatrix}4\end{pmatrix}\); (b) \(\begin{pmatrix}-3&-2\\2&-4\end{pmatrix}\).

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