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Let A = -- 1 1 2 5 1 -4 4 -4 7 2 1 2 3 -3 and y = 4 1 Find an orthonormal basis of Col(A). Find the distance of y to Col(A).

Let A = -- 1 1 2 5 1 -4 4 -4 7 2 1 2 3 -3 and y = 4 1 Find an orthonormal basis of Col(A). Find the distance of y to Col(A).

Advanced Engineering Mathematics
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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Let A = 1 2 1 5 -4 -3 and y = 1 -4 7 1 2 1 2 3 4 1 Find an orthonormal basis of Col(A). Find the distance of y to Col(A). Find the unique vectors y₁, y2 with the properties y = y1+ y2, y₁ y2 = 0, y₁ € Col A.
Transcribed Image Text:Let A = 1 2 1 5 -4 -3 and y = 1 -4 7 1 2 1 2 3 4 1 Find an orthonormal basis of Col(A). Find the distance of y to Col(A). Find the unique vectors y₁, y2 with the properties y = y1+ y2, y₁ y2 = 0, y₁ € Col A.
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