Let R3 have the inner product ((x, y, z), (x, y, z)) = 2xx + yy' +
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((x, y, z), (x΄, y΄, z΄)) = 2xx΄ + yy' + 3zz. In each case, use the Gram-Schmidt algorithm to transform B into an orthogonal basis.
(a) B = {(1, 1, 0), (1, 0, 1), (0, 1, 1)}
(b) B = {(1, 1, 1), (1, -1, 1), (1, 1, 0)}
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b Write b 1 1 1 1 b 2 11 1 b 3 1 1 0 Note that in the GramSchmidt algorithm we may multipl...View the full answer
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