Compute AB and BA, whichever exists when and

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Multiplication of Matrices

Question

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

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$AB = [\begin{array}{cc} - 4 & 2 \\ - 6 & 9 \\ 2 & 13 \end{array}]$ and BA does not exist