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5 votes
Topic: Matrix Row Reduction

Topic: Matrix Row Reduction-example-1
User Johnnycube
by
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1 Answer

5 votes

Write the system as an augmented matrix:


\left[\begin{array}cc1&5&22\\4&-7&7\end{array}\right]

Add -4 (row 1) to row 2 :


\left[\begin{array}cc1&5&22\\0&-27&-81\end{array}\right]

Multiply row 2 by -1/27 :


\left[\begin{array}c1&5&22\\0&1&3\end{array}\right]

Add -5 (row 2) to row 1 :


\left[\begin{array}c1&0&7\\0&1&3\end{array}\right]

Then x = 7 and y = 3.

User Diand
by
8.5k points

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