Mathematics, 31.07.2019 18:10 genyjoannerubiera
The system of equations may have a unique solution, an infinite number of solutions, or no solution. use matrices to find the general solution of the system, if a solution exists. (if there is no solution, enter no solution. if there are infinitely many solutions, express your answers in terms of z as in example 3.) 5x + 4y + 5z = −1 x + y + 2z = 1 2x + y − z = −3
Answers: 3
![\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]](/tpl/images/0155/2680/8b2c5.png)
and B=![\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]](/tpl/images/0155/2680/2fd68.png)
and 
![\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]](/tpl/images/0155/2680/7612d.png)
:![\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]](/tpl/images/0155/2680/33c95.png)
![\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]](/tpl/images/0155/2680/078fb.png)
:![\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]](/tpl/images/0155/2680/0da9f.png)
![\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]](/tpl/images/0155/2680/1d541.png)
:![\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]](/tpl/images/0155/2680/38c56.png)
and 
![\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]](/tpl/images/0155/2680/2b667.png)
:![\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]](/tpl/images/0155/2680/3663c.png)
![\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]](/tpl/images/0155/2680/edbcb.png)
:![\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]](/tpl/images/0155/2680/3c182.png)
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The system of equations may have a unique solution, an infinite number of solutions, or no solution....
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