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1. Determine the existence and uniqueness of solutions for each of the following systems of linear equations. If a unique solution exists, nd it. If innitely many solutions exist, find the space of all solutions as well as the one with smallest Euclidean norm ||x||. If no solutions exist, nd the vector x that gives the smallest error "Ax I)\". 1 3 3 1 3 ,b= 3 2 o o :c1+33:2 1 = 0 (ii) a:1 3x2 = 1 (i) A: 2121 + 1 = O 1 3 1 (iii) A = 1 3 5 with same b as in (i). 2 O 4