1. D: P₂ - → P₂ defined by D(a₁ + a₁ + a₂x²) = a₁ + 2a2x and the basis B = {x+1, x − 2, 2x²} of P₂. Determine [D]B, the matrix representation of the function over the basis B.

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Q: 20. Determine the eigen values of the following matrix: 5 15 31 21 a. 1, 6 b. 4, 1 c. 3, 4 d. 2, 5

A: The solution is given as

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A: Answer from the figure.

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Q: 5. Given the following data

A: Given, x 1.00 1.05 1.10 1.15 1.20 1.25 1.30 f(x) 1.0000 1.02470 1.04881 1.07238 1.09545 1.11803…

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Q: corresponding to it, it Y(x) = X are solutions of the determine a particular solution. NOTE: Enter…

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A: As Per Bartleby Answering Guidelines We Solve Only First One Problem