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5 7. The vectors 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(1)8 (1) dt. Compute | f (t)|, where f ( 1 ) = P . 3 1 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-a) (4-2) = 0. [Just find P and D, don't worry about P.]