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Unformatted text preview: ) = 2. (d) (5 points) Find an orthonormal basis for kernel( A ). Solution. We apply the GramSchmidt process to vectors: ~v 1 = 1 1 / 2 1 , ~v 2 = 21 1 1 ~u 1 = ~v 1 k ~v 1 k = 2 / 3 1 / 3 2 / 3 ~v  2 = ( ~v 2 · ~u 1 ) ~u 1 = 10 / 95 / 910 / 9 ~v ⊥ 2 = ~v 2~v  2 = 8 / 94 / 9 1 10 / 9 ~u 2 = ~v ⊥ 2 k ~v ⊥ 2 k = 1 √ 261 84 9 10 2...
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 Spring '08
 lee
 Linear Algebra, Vectors, Orthonormal basis, linear span

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