Let
R4
have the inner product <u, v> = u1v1 + 2u2v2 + 3u3v3 + 4u4v4 |
(a) | Let w = (0, 6, 4, 1). Find ||w||. |
(b) | Let W be the
subspace spanned by the vectors u1 = (0, 0, 2, 1), and u2 = (3, 0, −2, 1). Use the Gram-Schmidt process to transform the basis {u1, u2} into an orthonormal basis {v1, v2}. Enter the components of the vector v2 into the answer box below, separated with commas. |
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