10-8 Let b1 = [0,0,-1,1]T, b2 = [1,0,0,1]T, and b3 = [1,0,-1,0]T, and let S be the span of these vectors in R4. Apply the Gram-Schmidt process to {bi, b2, b3} to obtain an orthonormal basis {u1, u2, u3} for S.
ANSWER: {1,[0,0,-1,1]T,[2,0,1,1]T,[1,0,-1,-1T
10-9 Let S be the span of the functions x, x +1, and x2 - 1 in C[o,1]. Apply the Gram-Schmidt process to {x, x + 1, x2 - 1} to obtain an orthonormal basis {u1,u2,u3} for S.
ANSwER: {V3x,-3x+2,V5(6x2-6x+1)}