Recent content by BenZino11
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Undergrad What is the composition of T and T in terms of linear transformations?
The length will remain the same, as the projection of the vector v on u is the vector itself. So I suppose to describe the composition I would just write out the original projection formula?- BenZino11
- Post #7
- Forum: Linear and Abstract Algebra
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Undergrad What is the composition of T and T in terms of linear transformations?
( (u.[( (u.v)/(u.u) )u])/u.u ) u Is that all?- BenZino11
- Post #5
- Forum: Linear and Abstract Algebra
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Undergrad What is the composition of T and T in terms of linear transformations?
Sorry, I don't see little boxes. Maybe a computer issue but its just: ToT (I'm not sure if this is T dot T or if the larger circle represents something else) Thanks!- BenZino11
- Post #3
- Forum: Linear and Abstract Algebra
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Undergrad What is the composition of T and T in terms of linear transformations?
Let u (not equal to 0) be a vector in R^2 and let T: v --> proju(v) 1. Show that T is a linear transformation. 2. Describe the composition T T. 3. If ~u = [1,−1], find the standard matrix for T. I'm good with 1 and 3, but I'm not sure what 2 is asking. Excuse the poor notation...- BenZino11
- Thread
- Composition Function
- Replies: 6
- Forum: Linear and Abstract Algebra