LA2.1.1

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If A={\begin{bmatrix}0&1&2\\2&3&4\end{bmatrix}}\, and B={\begin{bmatrix}1&0&0\\2&-3&1\end{bmatrix}}\, evaluate 2A+3B\,

2A+3B=2{\begin{bmatrix}0&1&2\\2&3&4\end{bmatrix}}+3{\begin{bmatrix}1&0&0\\2&-3&1\end{bmatrix}}\, which is equal to

{\begin{bmatrix}0&2&4\\4&6&8\end{bmatrix}}+{\begin{bmatrix}3&0&0\\6&-9&3\end{bmatrix}}\,

{\begin{bmatrix}0+3&2+0&4+0\\4+6&6-9&8+3\end{bmatrix}}={\begin{bmatrix}3&2&4\\10&-3&11\end{bmatrix}}\,


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