(a) Write down the 3 by 3 matrices that produce these elimination steps: E21 subtracts 4 times row 1 from row 2 E31 adds 7 times row 1 to row 3 E32 subtracts 3 times row 2 from row 3 • P exchanges rows 1 and 2, then rows 2 and 3 (b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an upper triangular matrix U i.e. PE3 E31 E21 A = U (c) Do we get the same if we change the position of P, i.e. Eg32 E31 En PA?

Q: Hasnt given me an answer for K or W?

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