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Please help me to solve this problem Numerical Algorithms & Linear Algebra for computer science step by step !!! Thank you!!! 5. Suppose two points

Please help me to solve this problem Numerical Algorithms & Linear Algebra for computer science step by step !!! Thank you!!!

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5. Suppose two points (10, yo) and (x1, y) are on a straight line with y + yo. Two formulas are available to find the r-intercept of the line: Loyi Diyo (21 - 2o) yo Formula 1: TA= Formula 2: TB = 10 yi - Yo Yi - Yo (a) Show that both formulas are algebraically correct. (Algebraically show that TA = IB) (b) Use the data (20, yo) = (1.31, 3.24) and (11, y) = (1.93, 4.76) and three-digit round- ing arithmetic to compute the r-intercept both ways. (c) Compare the relative errors for both methods (this means you will need to find the true value using full precision on your calculator). Which method is better and why

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