# Ax = b: a = (−1 −3 2 1 1 0 −3 −3 2 ) b = ( 2 0 −2 )x = ( x1 x2 x3 ) (a) (2 pts) write down

###### Question:

Ax = b: a = (−1 −3 2 1 1 0 −3 −3 2 ) b = ( 2 0 −2 )x = ( x1 x2 x3 ) (a) (2 pts) write down the augmented matrix (a|b). (b) (4 pts) use gauss-jordan elimination to find the reduced row echelon form (rref) of the augmented matrix. (c) (2 pts) what is the rank of a? what is the rank of (a|b) (d) (2 pts) state whether the system is consistent or inconsistent. state how many solutions the system has; if there is/are a solution/s, write it/them down.

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