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6 Nov 2019
PART II- GEOMETRIC PROJECTIONS. In this part, we shall describe projections geometrically and some other related results.Suppose that E is the direct sum E F of two subspaces F and G. From PROBLEM 2, recall that every u e E can be decomposed uniquely as u v+w,v e F and W G. We can say that v (respectively w) is the F-component (resp. G-component) of u e E. The projection onto F along G is the function p:E- E which takes a vector u e E to its F-component, then denoted here p(u). In this part, p denotes such a function Show transcribed image text
PART II- GEOMETRIC PROJECTIONS. In this part, we shall describe projections geometrically and some other related results.Suppose that E is the direct sum E F of two subspaces F and G. From PROBLEM 2, recall that every u e E can be decomposed uniquely as u v+w,v e F and W G. We can say that v (respectively w) is the F-component (resp. G-component) of u e E. The projection onto F along G is the function p:E- E which takes a vector u e E to its F-component, then denoted here p(u). In this part, p denotes such a function
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2 Feb 2019