Find the rank of A and of the augmented matrix (A : b). Solve AX = b

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Find the rank of A and of the augmented matrix (A : b). Solve AX = b where possible and check that there are (n – rank(A)) free parameters.

(a) A= (b) A = (c) A: (d) A = = 2 (f) A= '~ - [10] (e) A = 0 1 0 b= [00] [100] 0 1 0 1 [101] 0 1 0 11 b = 1.0

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