[Solved] Let


Question: Let

\[A=\left( \begin{matrix} 1 & 2 \\ 3 & -2 \\ \end{matrix} \right),\,\,\,B=\left( \begin{matrix} -1 & 0 \\ 2 & 3 \\ -2 & 1 \\ \end{matrix} \right)\]
  1. Compute ABif possible. Compute BA if possible.
  2. For appropriate choice of a; b the matrix B gives a function with domain \({{\mathbb{R}}^{a}}\) and target \({{\mathbb{R}}^{b}}\). What are the numbers a and b?

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