D: P2> P2 (Dthe differential operator so that D(ax²+bx+c) = 2ax +b); a the standard basis for P2; B the basis consisting of x2+1, x+1, 2x2+1; ở = x² + 2x – 2. d) Find [T]. e) Find [v]g for i = x2 + 2x – 2. f) Find [T(v)]g.

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Q: (1x30'+ 3xD+1)y:о, усідів, у'(1)-о утобу'+0.09у= y (0) = 2.2, y' (0) = 0.14 -0.3x -o-3x e хе

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Q: 3) Let C be a basis that contains vectors (1 + (-1) x + 1x² + 1x³), (1 + 2x + 2x² + (−1) x³), (1 +…

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A: Note: As per our guidelines, we can answer the first question. Please repost the remaining…

Q: Find curl (9z i + 10x j+ 6y k). curl(9z i+ 10x j + 6y k) = ( i )i + (i j +( )k

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Q: 5) Find dx/dt of Matrix: X 5e-1 2e-¹ -7e-t

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Q: Let B = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for…

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Q: B = (f1, f2, f3) is a basis for R2[] where fi = 1+ 2x + a², f2 = 2+ 3r + 2x², f3 = 2 + x +3x². If…

A: The correct option is option (e) 1 + 2x²   The detailed solution is as follows below:

Q: Problem 10. Consider the following set of polynomials in P₁: S = {1+ 3t² +t³, 1+t+ 2t³ + 3t¹, t+t² +…

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Q: Let A,X EM, (C) such that A is positive semidefinit and AX = XA Show that A¹/2X = XA¹/2.

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Q: Find an orthonormal basis of the plane x1+ 5x2 – x3 = 0. }

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