Find a basis for the subspace of R3 spanned by S = {(2,3, -1), (1,3, -9), (0,1,5)}

Find a basis for the subspace of Rª spanned by S. S = {(3, -2, -3, 6), (2, -2, -3, 6), (-1, 1, 1, –2), (-2, 2, 2, –3)}

The subspaces of R3 are planes, lines, R3 itself, or Z containing only (0, 0, 0).(a) Describe the three types of subspaces of R2 .(b) Describe all subspaces of D, the space of 2 by 2 diagonal matrices.

4) Find a basis for the subspace of R* spanned by S. S = {(2,5,-3, -2), (-2, -3, 2, -5)(1,3,-2, 2)(-1,-5,3,5)}.