Let x=(1,2,3) and y=(0,1,2) Find projyX. Find projection of Y onto column space A= [(1,0); (3,2); (0,1)] , A is 3x2. Find the projection as a linear combination of the columbs of A. Also use Gram-Schmidt process to find orthogonal sets of vectors that spam the column vectors of A.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let x=(1,2,3) and y=(0,1,2)

Find projyX.

Find projection of Y onto column space A= [(1,0); (3,2); (0,1)] , A is 3x2. Find the projection as a linear combination of the columbs of A.

Also use Gram-Schmidt process to find orthogonal sets of vectors that spam the column vectors of A. 

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