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(Solved): linear algebra and matrix theory 3. For the following angmented matrix, perform Gainsian elimintion ...



linear algebra and matrix theory

3. For the following angmented matrix, perform Gainsian elimintion to bh eavy then solve. YOU MUST INDICATE WHICH ROW OPERATI
3. For the following angmented matrix, perform Gainsian elimintion to bh eavy then solve. YOU MUST INDICATE WHICH ROW OPERATIONS YOU ARE USING. 4. Consider following augr \( {\left[\begin{array}{cccc|c}x_{1} & x_{2} & x_{3} & x_{4} \\ 1 & 1 & 0 & 1 & 5 \\ -3 & 2 & 2 & 1 & 4 \\ 0 & 0 & 0 & -2 & 7 \\ 0 & 0 & 1 & 1 & 1\end{array}\right] } \) b) Perform Gaussian elimination with back substitution to solve the system, making sure to indicate your row operations.


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First, we use the gauss elimination method to reduce the given augmented matrix into reduced row echelon form and then finally solve for the variables
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