Matrix equation
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Please show us what you have tried and exactly where you are stuck.
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pka
Elite Member
- Joined
- Jan 29, 2005
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- 11,978
You must know how matrix multiplication works.
\(\left[ {\begin{array}{*{20}{c}}
1&3 \\
{ - 2}&{ - 6}
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
a&b \\
c&d
\end{array}} \right] = \)\( \left[ {\begin{array}{*{20}{c}}
{14}&7 \\ { - 28}&{14}\end{array}} \right]\)
\(\left\{ \begin{gathered}
a+3c=14 \hfill \\
b+3d=7 \hfill \\
-2a-6c=-28 \hfill \\
-2b-6d=14 \hfill \\
\end{gathered} \right\}\)
\(\left[ {\begin{array}{*{20}{c}}
1&3 \\
{ - 2}&{ - 6}
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
a&b \\
c&d
\end{array}} \right] = \)\( \left[ {\begin{array}{*{20}{c}}
{14}&7 \\ { - 28}&{14}\end{array}} \right]\)
\(\left\{ \begin{gathered}
a+3c=14 \hfill \\
b+3d=7 \hfill \\
-2a-6c=-28 \hfill \\
-2b-6d=14 \hfill \\
\end{gathered} \right\}\)