(Solved): Solving Systems Use Gauss-Jordan reduction to transform the augmented matrix of each system in Pro ...

Solving Systems Use Gauss-Jordan reduction to transform the augmented matrix of each system in Problems 24-36 to RREF. Use it to discuss the solutions of the system (i.e., no solutions, a unique solution, or infinitely many solutions). \( \operatorname{lu} v+v-4 \quad \operatorname{se} v-9 v \) 29. \( x_{1}+4 x_{2}-5 x_{3}=0 \) \( 2 x_{1}-x_{2}+8 x_{3}=9 \) 36. \( x_{1}+2 x_{3}-4 x_{4}=1 \) \( x_{2}+x_{3}-3 x_{4}=2 \) Reduced Row Echelon Form Determine whether each of the matrices given in Problems 11-19 is in RREF or not. If not, explain which condition or conditions fail. Then use elementary row operations to obtain the RREF. 19. \( \left[\begin{array}{lllrr}1 & 3 & 0 & -1 & 0 \\ 0 & 0 & 1 & -2 & 0 \\ 0 & 0 & 0 & 0 & 1\end{array}\right] \) Homogeneous Systems In Problems 53-55, determine all the solutions of \( \mathbf{A x}=\overrightarrow{0} \), where the matrix shown is the RREF of the augmented matrix [A | \( \mathbf{b}] \).