Answer to Question #18585 in Abstract Algebra for Carmel

Question

identify a basis and write down the dimension for each of the vector spaces.
(i) the line in R^3 given in paramaterized fprm by x=2t, y=-3t, z=t(root5)
(ii)the solution set for a linear system which is given by the general solution
x1 = 2t -3s + r
x2 = t + s - 5r
x3 = -s - r
x4 = t
x5 = s
x6 = r