Question

1. Which of the following sets of vectors spans [r^2] ?

a) {(1,1), (-2,-2)}

b) {(1,1), (1,2)}

c) {(1,2), (1/2,2)}

d) {(-1,1), (1,-1)}



2.

Which of the following sets of vectors spans [r^3] ?

a) {(1,1,1), (2,2,2)}

b) {(1,3,1), (2,2,2)}

c) {(1,2,1), (1/2,1,1/2)}

d) {(1,3,2), (-1,-3,-2)}

Answer 1

1. Looks like (b) and (c) unless there's a typo maybe c = {(1,2),(1/2,1)}a as in #2?

2. (b) again