(a) E21 subtracts row 1 from row 2 and then P23 exchanges rows 2 and 3. What matrix M = P23E2 1 does both steps at once?(b) P23 exchanges rows 2 and 3 and then E31 subtracts row 1 from row 3. What matrix M = E31 P23 does both steps at once? Explain why the M's are the same but the E's are different.

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