What is the sum of the finite series 19 Ë n=1 10n²+ 3n²2² 3 Give your answer exactly as an integer or fraction

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Q: a) Determine if the vectors 1² +2,2₁² +t+3,3t² + 4t + 5 span P₂. 1 b) Determine if the vectors 0 2 3…

A: Explanation of the answer is as follows

Q: 0 (So/0 0 ($3/1 0 1 0 1 (S₁/0) 1 (S₂/0)

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A: Given  T:R^3 to R^2.    ....(1) And img(T)=CL{(4,-4),8,-8)} ...(2) By (1), T is 2*3 matrix  As we…

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Q: Answer the questions on the following mathematical programming problem: max x₁x2 subject to 2x₁ + x₂…

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Q: For the O a. O b. OC. time-invariant system x' = Ax for which Ø(t) = eAt where: d. Ø(t) = [0(t)]-¹…

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Q: Q1. Solve the following differential equation y" - 4y + 4y = ekttk y(0) = 0, y'(0) = 0 (Where k = 0…

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A: This is a problem of power series and fourier series.

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Q: 4. The set W of polynomials of the form ao + α₁x + a₂x² + 3x³ + a₁x¹, where ao = a₂ and a₁ = a3 is a…

A: Set W is polynomial and W is subspace of P4. We find number of arbitrary constant in set W.

Q: i) XEIR, {>0, ln² | ( X-E₁ X + {)) : = {y>0] X= { E X estreng manation 05 -६ X le.e E e tye e².é, é…

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