Consider the linear system of Example 7 in Section 1.2. x - 2y + 3z = 9 -x + 3y = -4 2x - 5y + 5z = 17 (a) Use the MATLAB command rref to solve the system. (b) Let A be the coefficient matrix, and B be the right-hand side of the system. A = [ 1 -2 3; -1 3 0; 2 -5 5 ] B = [ 9; -4; 17 ] Use the MATLAB command AB to solve the system.
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The augmented matrix is: $$ \begin{bmatrix} 1 & -2 & 3 & 4 \\ -1 & 3 & 0 & 17 \\ 2 & 5 & 1 & 5 \end{bmatrix} $$ After applying the rref command in MATLAB, we get the following matrix: $$ \begin{bmatrix} 1 & 0 & 0 & 3 \\ 0 & 1 & 0 & 2 \\ 0 & 0 & 1 & Show more…
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