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13 Nov 2019
(4) Let H be a subspace of Rs with orthogonal basis B = {bi,b2). Then B can be extended to an orthogonal basis E = {bibaba, b. bs) of R5. Show that C-(by, b4,bs) is a basis of H4, (Hint: To show H c Span (bs, ba, bs), write v e H as a linear combination of the elements of E and take its dot product with each of bi, b2.)
(4) Let H be a subspace of Rs with orthogonal basis B = {bi,b2). Then B can be extended to an orthogonal basis E = {bibaba, b. bs) of R5. Show that C-(by, b4,bs) is a basis of H4, (Hint: To show H c Span (bs, ba, bs), write v e H as a linear combination of the elements of E and take its dot product with each of bi, b2.)
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Lelia LubowitzLv2
3 Mar 2019