Put v1, v2, v3 in a matrix and calculate the determinant. If the det is not equal to 0, then the 3 vectors form a basis. If the determinant is 0, do the reduced row echelon form to determine basis. Post your work if you need some help.
Find a basis for W=span(v1,v2,v3) where v1 =...,v2=..., v3=... and state the dimension of W.
V1=(1,2,3) V2=(2,0,5) V3=(5,2,10)
NOTE: After each comma is a new row. So these are all 1 column with 3 rows matrices.
Can someone please give a clue how to start this question?