(a) Show (by calculation) that {u1(x), u2(x)} is an orthonormal set. (b) Find the projection p(x) of f(x) onto Span(u1(x), U2(x)).

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Q: Let f R2 R² be an isomorphism where : → ƒ ( [¹³]) = [()] and ƒ ([×4]) = }}] Find(G)

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Q: a) Prove the one point rule - 3-version: (3x)(x = t ^ A) = A[x = t] if x is not free in t. b) Prove…

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Q: Let f(x)= x3 + x2 + x +1  ∈ Z2[x]. Write f(x) as a product of irreduciblepolynomials over Z2.

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Q: a) show that the given function is 1-1 or give a counterexample. b) show that the given function is…

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