Given A=[3120],  B=[1241]A=\begin{bmatrix}3&1\\2&0\end{bmatrix},\; B=\begin{bmatrix}1&2\\4&1\end{bmatrix}…

Mathematics

Problem

Given A=[3120],  B=[1241]A=\begin{bmatrix}3&1\\2&0\end{bmatrix},\; B=\begin{bmatrix}1&2\\4&1\end{bmatrix} and the scalar k=5k=5, find k(AB)k(AB) and (kA)B(kA)B and state whether they are equal.

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