5 7. The vectors 4 and 6 form a basis for a subspace W . Use the Gram-Schmidt process to find an orthogonal basis for W . 8. Consider the inner product space C [0,1] with the inner product defined as (f.8)= [f(t)g(t) dt . Compute f (1) , where f (t) = t . 310 9. Consider A = 1 3 0 0 0 2 a. Explain why A is orthogonally diagonalizable. b. Find the orthogonal diagonalization of A, given that the characteristic equation is (2 - 2) (4-2)=0. [Just find P and D, don't worry about P- . ]