Verify all the assertions

(a) The list (1,0,,0),(0,1,0,,0),,(0,,0,1) is a basis of Fn, called the standard basis of Fn. (b) The list (1,2), (3,5) is a basis of F2. (c) The list (1,2,4),(7,5,6) is linearly independent in F3 but is not a basis of F3 because it does not span F3. (d) The list (1,2), (3,5), (4,13) spans F2 but is not a basis of F2 because it is not linearly independent. (e) The list (1,1,0),(0,0,1) is a basis of {(x,x,y)F3:x,yF}. (f) The list (1,1,0),(1,0,1) is a basis of {(x,y,z)F3:x+y+z=0}. (g) The list 1,z,,zm is a basis of Pm(F)