Choose from these options Which of the following sets are su

Choose from these options:

Which of the following sets are subspaces of R^3 ? A. {(.x,y, z) I 7x - 6y = 0, - 8 x + 5z = 0} B. {(x,y,z)|x,y,z> 0} C. { (x ,x - l,x + 6) I x arbitrary number} D. {(x,;y,z) I - 7x + 6y + 8z = 0} E. { (x, y, z) I -9x-4y + 2z = -5} F. {(5x - 2y, 9x - 3y, 4x + 3y) I x, y arbitrary numbers }

Solution

A can be written as (x,y, 8x/5)

Hence not a subspace

B) is a subspace

c) not a subspace

d) not a subspace

e) not a subpace

f) not a subspace