- #1
jreis
- 24
- 0
I want to know why this subset W is a subspace of R3.
W is defined as:
| x+2y+3z |
| 4x+5y+6z |
| 7x+8y+9z |
I know the possible subspaces of R3 are the origin itself, lines through the origin, and planes through the origin. Would W be a subspace of R3 simply because there would be no coefficient column to this matrix? Or would one need to solve this system using Gaussian Elimination to show whether or not W is a subspace?
W is defined as:
| x+2y+3z |
| 4x+5y+6z |
| 7x+8y+9z |
I know the possible subspaces of R3 are the origin itself, lines through the origin, and planes through the origin. Would W be a subspace of R3 simply because there would be no coefficient column to this matrix? Or would one need to solve this system using Gaussian Elimination to show whether or not W is a subspace?