- Given v1 = (1, 0, 1, 2)T

, v2 = (0, 1, 1, 0)T

, v3 = (−1, 2, 1, 0)T

, v4 = (0, 0, 1, 0)T

.

(i) Prove that v1, v2, v3, v4 form a basis of R4

; - Given v1 = (1, 0, 1, 2)T

, v2 = (0, 1, 1, 0)T

, v3 = (−1, 2, 1, 0)T

, v4= (0, 0, 1, 0)T

.

(i) Prove that v1, v2, v3, v4 form a basis of R4

;

I have no idea because i thought basis are pivot columns like (1 0 0 0),(0 1 0 0), but the above are not pivot columns.

Thanks a lot