Compute AB and BA, whichever exists when and

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

Compute AB and BA, whichever exists when $A = [\begin{array}{cc} - 1 & 1 \\ - 2 & 2 \\ - 3 & 3 \end{array}]$ and $B = [\begin{array}{ccc} 3 & - 2 & 1 \\ 0 & 1 & 2 \\ - 3 & 4 & - 5 \end{array}]$

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$BA = [\begin{array}{cc} - 2 & 2 \\ - 8 & 8 \\ 10 & - 10 \end{array}]$ and AB does not exist