Consider the matrixstudent submitted image, transcription available below

A = [1 0 0 1 1
1 1 0 2 -1
2 1 1 3 1]
and the vector B = [1
2
5]
(a) Construct the augmented matrix [A|b] and use elementary row operations to transform it to reduced row echelon form.

(b) Find a basis for the column space of A.