MathAlgebraLinear algebraMatrices

Matrix multiplication

Theory

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If U=(2−2−33)U = \begin{pmatrix} 2 & -2 \\ -3 & 3 \end{pmatrix} and V=(1−12−2)V= \begin{pmatrix} 1 & -1 \\ 2 & -2 \end{pmatrix} , match the corresponding items.

Match the items from left and right columns
U⋅VU \cdot V
V⋅UV \cdot U
Wrong answer
(5−510−10)\begin{pmatrix} 5 & -5 \\ 10 & -10 \end{pmatrix}
(−55−1010)\begin{pmatrix} -5 & 5 \\ -10 & 10 \end{pmatrix}
(−223−3)\begin{pmatrix} -2 & 2 \\ 3 & -3 \end{pmatrix}

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