Q3 3.2

Determine which of the following subsets of R are subspaces of R3. No 4 1. {[x, y, z]] | x 20, y 20, z 2 0} Yes 2. {[x, y, z] | - 6x - 2y - 5z = 0} No 3. {[8x - 9y, 7x + 3y, 4x - 3y] | x, y arbitrary numbers } Yes 4. { [ac, ac - 6, 2 - 2]? | 2 arbitrary number } No 5. { [x, y, z] | - 7x - 4y + 9z =-8} Yes 4 6. { [8x, 7x, 4x]" | x arbitrary number } Yes 7. {[x, y, z]" | 6x + 2y = 0, 5x + 8z = 0} Note: In order to get credit for this problem all answers must be correct