Mathematics, 22.09.2019 14:30 kimhoss2
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system
Answers: 1
![\left[\begin{array}{ccc}1&h&4\\3&6&8\end{array}\right]](/tpl/images/0252/2995/98207.png)
![\left[\begin{array}{ccc}1&h&4\\3&6&8\end{array}\right] -3R_1+R_2\rightarrow R_2 \\ \\ \left[\begin{array}{ccc}1&h&4\\0&6-3h&-4\end{array}\right] \frac{1}{6-3h}R_2\rightarrow R_2 \\ \\ \left[\begin{array}{ccc}1&h&4\\0&1&\frac{-4}{6-3h}\end{array}\right] -hR_2+R_1\rightarrow R_1 \\ \\ \left[\begin{array}{ccc}1&0& \frac{24-8h}{6-3h} \\0&1&\frac{-4}{6-3h}\end{array}\right]](/tpl/images/0252/2995/b898d.png)
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