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Naddik [55]
3 years ago
15

Topic: Matrix Row Reduction

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

Write the system as an augmented matrix:

\left[\begin{array}{cc|c}1&5&22\\4&-7&7\end{array}\right]

Add -4 (row 1) to row 2 :

\left[\begin{array}{cc|c}1&5&22\\0&-27&-81\end{array}\right]

Multiply row 2 by -1/27 :

\left[\begin{array}{cc|c}1&5&22\\0&1&3\end{array}\right]

Add -5 (row 2) to row 1 :

\left[\begin{array}{cc|c}1&0&7\\0&1&3\end{array}\right]

Then <em>x</em> = 7 and <em>y</em> = 3.

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