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Usimov [2.4K]
3 years ago
15

Which Matrix is equal to A-2B+C

Mathematics
2 answers:
anastassius [24]3 years ago
8 0
It is convenient to use the matrix capability of your calculator to do this. The result is ...
\left[ \begin{array}{cc}-1&4\\5&-7\end{array} \right]

lawyer [7]3 years ago
5 0
\bf A=
\begin{bmatrix}
5&2\\3&0
\end{bmatrix}\qquad B=
\begin{bmatrix}
4&3\\-1&6
\end{bmatrix}\qquad C=
\begin{bmatrix}
2&8\\0&5
\end{bmatrix}\\\\
-------------------------------\\\\
2B\implies 2\begin{bmatrix}
4&3\\-1&6
\end{bmatrix}\implies \begin{bmatrix}
2\cdot 4&2\cdot 3\\2\cdot -1&2\cdot 6
\end{bmatrix}\implies 
\begin{bmatrix}
8&6\\-2&12
\end{bmatrix}

\bf \stackrel{A-2B}{\begin{bmatrix}
5&2\\3&0
\end{bmatrix}-\begin{bmatrix}
8&6\\-2&12
\end{bmatrix}}\implies 
\begin{bmatrix}
-3&-4\\5&-12
\end{bmatrix}
\\\\\\
\stackrel{A-2B+C}{\begin{bmatrix}
-3&-4\\5&-12
\end{bmatrix}+\begin{bmatrix}
2&8\\0&5
\end{bmatrix}}\implies 
\begin{bmatrix}
-1&4\\5&-7
\end{bmatrix}
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