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Airida [17]
3 years ago
7

-1 -1 | -12 -3 2 | 32 How would you put this into row echelon form ?

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

\left[\begin{array}{cc|c}-1&-1&-12\\-3&2&32\end{array}\right]

Multiply through row 1 by -1:

\left[\begin{array}{cc|c}1&1&12\\-3&2&32\end{array}\right]

Add 3(row 1) to row 3:

\left[\begin{array}{cc|c}1&1&12\\0&5&68\end{array}\right]

Multiply through row 2 by 1/5:

\left[\begin{array}{cc|c}1&1&12\\0&1&\frac{68}5\end{array}\right]

Add -1(row 2) to row 1:

\left[\begin{array}{cc|c}1&0&-\frac85\\&&\\0&1&\frac{68}5\end{array}\right]

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