Please complete the following questions, which require detailed handwritten steps.

{1} Find the nullspaee of the matrix A = 2 1 4 4 3 2 4 20 31 {2) Consider the matrix A = E 5 E 2 11 1E- {a} Find a basis for the column Spaoe {h} Find the rank of the matrix {3} Find the coordinate matrix of if = {12, 6} in 1R" relative to the basis B' = {(4,0), {3,031} {4} Find the transition matrix from B = {{1,{]+U}, {0, 1,0),{U,,-1)} and B' = {{U,U,2),{1,4,}, {5,0, 2}}