In the following list of subsets of R3 ,select the ones that are subspaces ofR3 (multiple answers).
(As usual, incorrect answers will earn you negative points)
| | Entire R3 |
| | { (x+y, x-y, y ) | x,y are real numbers } |
| | { (x,y,z) | x,y,z are all nonnegative real numbers } |
| | { ( x, -x, 2x ) | x is a real number } |
| | { (1,1,1) } |
| | { (x,y,3) | x,y are real numbers } |
| | { (0,0,0) } |
| | { (x+1, y+1, z+1) | x,y,z are real numbers } |
| | { (x,y,0) | x,y are real numbers } |
| | { (x,y,z) | x + y + z = 1 } |
