Determine that the following matrices are whether in row echelon form (REF) or reduced-row echelon form (RREF) and then if necessary identify the elementary row operations to obtain the RREF for each of the matrices. a) [1 0 -1 2; 0 1 3 -1; 0 0 1 5] c) [1 0 -1 -2; 0 1 3 1; 0 0 1 7] b) [1 0 0 8 0; 0 0 0 0 0; 0 0 1 2 -5; 0 1 0 8 3]
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Matrix A is not in REF or RREF because the third row has a non-zero element (10) in the first column, which should be zero. To obtain the RREF, we can perform the following elementary row operations: Show more…
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