The set {V₁, V₂, V3} is independent. Use the Gram-Schmidt process to produce an orthogonalset with the same span.00BV1=000N10V220 00 0V3||210-3

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Answered: The set {V₁, V₂, V3} is independent.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.677) (1995, 0.655) (1996, 0.639) (1997, 0.618) (1998, 0.609) (1999, 0.605) (2000, 0.580) (2001, 0.565) (2002, 0.557) (2003, 0.542) (2004, 0.531) (2005, 0.516) (2006, 0.499) (2007, 0.478) (2008, 0.461) (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? Yes or No (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y = (c) Use the model to predict the value (in 1982–1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010 $ 2013 $ Discuss the…

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The set {V₁, V₂, V3} is independent. Use the Gram-Schmidt process to produce an orthogo set with the same span. 0 0 2 2 1 +4 V2 V3 1 0 0 2 V1 2 -3