Question: Please show steps with explanation and I'll rate 1. Determine the existence and uniqueness of solutions for each of the following systems of linear equations.

Please show steps with explanation and I'll rate

1. Determine the existence and uniqueness of solutions for each of the following systems of linear equations. If a unique solution exists, find it. If infinitely many solutions exist, find the space of all solutions as well as the one with smallest Euclidean norm ( x||. If no solutions exist, find the vector x that gives the smallest error || Ax - bll. (i) A b 2 3 -1 = 0 (ii) -1 - 352 1 21+ 1= 0 3 1 (iii) A 3 5 with same b as in (i). 2 4

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