6. Are the following sets subspaces of P₂? Why or why not? (a) U = {p = P₂|p(3)=0} (b) W = {ao + a₁x + a₂x² | α₁ + 2a2 = ao = 1}

Q: 6. Determine whether the following set of polynomials is linearly independent or not. (1 – t)?, t –…

A: Solution:-

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A: Given,and..To find the value of A, and the support of..

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A: We know that z=x+iy Then f(z) = z3+i-1= (x+iy)3+i-1 = x3+3x2iy+3xi2y2+i3y3+i-1=…

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Q: 8. Find all values of h, if any exist, such that b a linear combination of vị an h (а) Vi V2 = b =…

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A: Given that

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A: Let's find given function domain and range.

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A: We will use the following results i) Any group of order 4 is abelian group. ii) Every element of…

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A: Consider the provided question, given,p1t=1+t2p2t=t+t2and p3t=1+2t+t2

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Q: 1 s) Let f(x, y) = x¹y-²-5ry- ? (graye ! 'e' e7 In (2ry), find fzz, fyy, fry, and fyz. Sadda

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Q: Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.…

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