Consider the two 3 × 4 matrices below

1. Row-reduce each matrix and determine that the reduced row-echelon forms of B and C are identical.
From this argue that B and C are row-equivalent.
2. In the proof of Theorem RREFU, we begin by arguing that entries of row-equivalent matrices are related by way of certain scalars and sums. In this example, we would write that entries of B from row i that are in column j are linearly related to the entries of C in column j from all three rows
[B]ij = δi1 [C]1j + δi2 [C]2j + δi3 [C]3j
For each 1 ‰¤ i ‰¤ 3 find the corresponding three scalars in this relationship. So your answer will be nine scalars, determined three at a time.

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1 3 -2 2 B=1-1-2-1-3 1 2 21 C=1140 114 1 1 5