Mathematics Homework Solutions
Problem
#36269

Verify the Length of a Projection

Verify that the length of the projection is ||p|| = ||b|| |cosθ| using p = (aTb/aTa ) a and possibly using cosθ =  aTb/ (||a|| ||b||)
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3.2.2.doc  View File

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3.2.2.doc
From Gilbert Strang “Linear Algebra and its Applications”, problem
3.2.2

Verify that the length of the projection is ||p|| = ||b|| |cosθ| using

p = (aTb/aTa ) a

and possibly using cosθ = aTb/ (||a|| ||b||)

Solution Summary

The length of a projection is verified.

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