Classical Studies 3400E Lecture : Theogins

Show, for a positive integer n, that F^n = W_1⊕W_2, where W_1 and W_2 are the following subspaces of F^n:

W_1 ={(a1,...,an) ∈ Fn | an = 0}

W_2 ={(a1,...,an) ∈ Fn | a1 = a2 = ··· = an−1 = 0}.

solve this quastions and show all works :