Question

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be more specific when you say "needs more information to be
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2. (Gauss-Jordan). Perform the full Gauss-Jordan algorithm starting with the augmented matrix

M = [1 0 5 -2 9;1 -2 9 -2 -5;-2 2 -14 -2 20;-1 -2 -1 0 -15];

a) Perform Gauss-Jordan (forward elimination followed by backward substitution). Indicate the elementary operation you are performing in each step, and use Matlab to calculate the result. Show intermediate matrices.

b) What is the reduced row echelon form of M based on your calculations in a) ? You can use Matlab to verify the result, but your answer should be based on part a).

c) What is the rank of M? What is the rank of A, the corresponding coefficient matrix (all but the last column of M)? Hint: Work with your answer to b). You can double check with Matlab rank().

d) Is the system consistent/inconsistent? If the system is consistent, is the solution unique/non-unique?

Answer #1

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