Determine which of the following subsets of R³ are subspaces of R³.
Yes 1. {[$x, x - 9, x + 6]^T | $x$ arbitrary number}
Yes 2. {[$x, y, z]^T | $9x - 6y = 0$, $2x - 4z = 0$}
No 3. {[$x, y, z]^T | $5x + 8y - 7z = 4$}
Yes 4. {$[-4x + 7y, -5x - 3y, -8x + 3y]^T$ | $x, y$ arbitrary numbers}
No 5. {$[-4x, -5x, -8x]^T$ | $x$ arbitrary number}
No 6. {[$x, y, z]^T | $-9x + 6y - 2z = 0$}
No 7. {[$x, y, z]^T | $x \ge 0, y \ge 0, z \ge 0$}