15.Let S be the subspace of R° spanned by the vectors1and224. Find the matrix P for the orthogonal projection onto S.(If the entries of your matrix do not come out as whole numbers, roundthem to 4 decimal places.) Let V[2, 1, 8] and U = [3, 2, 9]. Find a scalar c such thatV – CU is orthogonal to U. Give an exact answer, not a decimalapproximation.|с —

By Bartleby policy I have to solve only first one as these 2 are unrelated problems.

Answered: -1-日 5 Let S be the subspace of R°…

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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-1-日 5 Let S be the subspace of R° spanned by the vectors and 2 2 . Find the matrix P for the orthogonal projection onto S. (If the entries of your matrix do not come out as whole numbers, round them to 4 decimal places.)