Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. $$ \left\{\begin{aligned}-x+y+z=-1 \ -x+5 y-15 z=-13 \ 3 x-2 y-7 z=\end{aligned} ight. $$ Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution set is $$ \{(\square, \square)\} $$ (Simplify your answers.) B. There are infinitely many solutions. The solution set is $$ \{(\square, \square, z)\} $$, where $$ z $$ is any real number. (Type expressions using $$ z $$ as the variable. Use integers or fractions for any numbers in the expressions.) C. There is no solution. The solution set is $$ \varnothing $$.

Question

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. $$ \left\{\begin{aligned}-x+y+z=-1 \ -x+5 y-15 z=-13 \ 3 x-2 y-7 z=\end{aligned}ight. $$ Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution set is $$ \{(\square, \square)\} $$ (Simplify your answers.) B. There are infinitely many solutions. The solution set is $$ \{(\square, \square, z)\} $$, where $$ z $$ is any real number. (Type expressions using $$ z $$ as the variable. Use integers or fractions for any numbers in the expressions.) C. There is no solution. The solution set is $$ \varnothing $$.

Parry Morgan · Accepted Answer

B. There are infinitely many solutions. The solution set is $$ \{(5z - 2, 4z - 3, z)\} $$, where $$ z $$ is any real number.

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

preguntas relacionadas