MathAlgebraLinear algebraMatrices

Matrix multiplication

Real matrix size

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If $S = \begin{pmatrix} 2 & -2 & 2\\ -3 & 3 & -3 \end{pmatrix}$ and $V = \begin{pmatrix} 1 & -1 \\ -4 & 4 \\ 5& -5 \end{pmatrix}$ , then what is $V \cdot S$ ?

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\begin{pmatrix} 5 & -5 & -1 \\ -20 & 4 & 4 \\ -5 & -25 & -5 \end{pmatrix}

\begin{pmatrix} 2 & 8 & 10 \\ 3 & 12 & 15 \end{pmatrix}

\begin{pmatrix} 20 & -20 \\ -30 & 30 \end{pmatrix}

\begin{pmatrix} 5 & -5 & 5 \\ -20 & 20 & -20 \\ 25 & -25 & 25 \end{pmatrix}

It is an impossible operation

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