a) find the least-squares approximation to the solution of the system of equations: 2x+y=1, x-y=-1, x+y=2 b) Let S be the plane passing through the origin O abd the points U=(2,1,1) and V=(1,-1,1). Use your answer from (a) to find the foot of the perpendicular dropped from W=(1,-1,2) to S. c) Check your solution by verifying that the error vector ε=FW is orthagonal to u and v Note: I only need the solution for (c) but i sent all because you need to do (a) and (b) to do (c)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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a) find the least-squares approximation to the solution of the system of equations:

2x+y=1, x-y=-1, x+y=2

b) Let S be the plane passing through the origin O abd the points U=(2,1,1) and V=(1,-1,1). Use your answer from (a) to find the foot of the perpendicular dropped from W=(1,-1,2) to S.

c) Check your solution by verifying that the error vector ε=FW is orthagonal to u and v

Note: I only need the solution for (c) but i sent all because you need to do (a) and (b) to do (c)

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