6. (15 points) Use elimination (and permutation) matrices to put the following matrices in upper triangular form. At each step, determine which elimination (or permutation) matrix you used, and determine what resulting matrix you obtain. The final result should be upper triangular. (a) (8 points) A = [[-1,-1,-1,1],[-1,-1,1,-1],[-1,1,-1,-1],[1,-1,-1,-1]]
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To do this, we can add the first row to the second row. The elimination matrix for this operation is: E1 = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix} Now, we multiply E1 by A: E1A = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix} \begin{bmatrix} -1 & 1 \\ -1 & Show more…
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