Mathematics, 19.12.2020 14:00 borsha255
Prove that A(BC)=(AB)C as the associative law of matrix multiplication
Answers: 2
![A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\:\left[\:\begin{pmatrix}1&0\\ \:\:\:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:\:\:\:1&1\end{pmatrix}\right]\:](/tpl/images/1002/6491/d547c.png)
![\left(AB\right)C=\left[\begin{pmatrix}1&2\\ \:\:\:\:3&4\end{pmatrix}\:\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\right]\begin{pmatrix}1&3\\ \:\:\:\:\:1&1\end{pmatrix}\:](/tpl/images/1002/6491/88ae7.png)
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