Let f(x) = 4, g(x) = 4x + 6 and h(x) = 2x². Consider the inner product (p, q) = p(x)q(x) dz in the vector space P(R) of polynomials. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace spanned by the functions f(x), g(x), and h(x). }.

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Q: Is W=set of upper triangular 3 x 3 matrices a subspace of V=all 3 x 3 matrices?

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A: dear student we are only allow to solve first question if you want to rest of answere please upload…

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Q: Find a basis for the subspace given by the plane −3x + 2y + 5z = 0.

A: we have to find a basis for the subspace given by −3x +2y + 5z = 0.

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A: Evaluation of basis problem.....

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