Assume that the vector space R' has the Euclidean inner product. Apply the Gram-Schmidt process to transform the basis vectors u =(1, 1, 1), uz =(0, 1, 1), us = (0, 0, 1) into an orthogonal basis {v,,v,,v,}, and , and then normalize orthogonal basis vectors to obtain an orthonormal basis {q,,9;-9,} -

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Q: Let R have the Euclidean inner product. Use the Gram-Schmidt process to transform the basis {u1, u2,…

A: NOTE: Refresh your page if you can't see any equations. . . find the normal vector

Q: Q1:Find an orthonormal basis for the Euclidean space R* that contains the vectors U1 uz = and uz

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Q: The Gram-Schmidt process transforms the basis u,=(1, 3), u,=(1, –7) of R² into the orthogonal basis…

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Q: Q1:Find an orthonormal basis for the Euclidean space R* that contains the vectors 1 and uz = ; uz =…

A: Now, from the grem scehem process we have:

Q: Let R* have the Euclidean inner product. Use the Gram-Schmidt process to transform the basis {u1,…

A: use the Gram Schmidt process to transform the basis to an orthonormal basis.

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Q: let R3 have the Euclidean inner product and use the Gram-Schmidt process to transform the basis…

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Q: The Gran-Schmidt process t ransforns the basis u (1,2). uz-(2,-6) of R2 into the orthogonal basis V1…

A: The basis u1=(1,2), u2=(2,-6) of R2 into v1=u1=(1,2),we have find v2

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Q: 5. (a) Show that the vectors u1 = (3, 1,0), u2 = (-1,3,0) and uz = (0,0, 4) form an orthogonal basis…

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Q: The Gram-Schmidt process t ransforms the basis U13D(-1,3), u2=(7,-1) of R into the orthogonal basis…

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Q: . Let W be the subspace of R' generated by the vectors (1, –2, 5, –3), (2, 3, 1, –4) an (3, 8, –3,…

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