If given u and matrix A, determine if u is in the subset of R3 spanned by the columns of A.

u is a 3x1matrix with terms [2, - 3, 2]
A is a 3x3 matrix with row1 = [5 8 7]
row2 = [0 1 -1]
row3 = [1 3 0]
....Also, is there a better way to type matrices?

Question

If given u and matrix A, determine if u is in the subset of R3 spanned by the columns of A.

u is a 3x1matrix with terms [2, - 3, 2]
A is a 3x3 matrix with row1 = [5 8 7]
row2 = [0 1 -1]
row3 = [1 3 0]
....Also, is there a better way to type matrices?

xkehaulanix · Answer

Nobody answered, but would somebody like to check this? |dw:1327884472747:dw||dw:1327884826730:dw|
Since the last row of the augmented matrix has a nonzero in only the last column, is it safe to say that u is not in the subset of R3 spanned by A?