cutehusky012 cutehusky012
  • 02-04-2020
  • Mathematics
contestada

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

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LammettHash
LammettHash LammettHash
  • 02-04-2020

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

Multiply through row 1 by -1:

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

Add 3(row 1) to row 3:

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

Multiply through row 2 by 1/5:

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

Add -1(row 2) to row 1:

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

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