
linear algebra - What is the idea behind a projection operator? What ...
May 29, 2015 · What's wrong with the current answers? Sure, the most popular one is a bit tongue in cheek (simply describing what idempotence means in a more colloquial setting), but the answers …
linear algebra - Orthogonal projection of a point onto a line ...
How would I go about solving the following problem? Find an orthogonal projection of a point T (−4, 5) (4, 5) onto a line x3 + y −5 = 1 x 3 + y 5 = 1.
linear algebra - What is the difference between and projection and a ...
Jun 4, 2016 · In my text book I have the problems of finding the standard matrix of the given linear transformation from R2 R 2 to R2 R 2; Projection onto the line y = −x y = − x. Reflection in the line y …
linear algebra - Understanding the formula $P_A = A (A^TA)^ {-1}A^T ...
Oct 19, 2018 · In fact, the projection matrix that results from this formula is independent of the choice of basis for the subspace. Finally, what if we’re using something other than the standard Euclidean …
linear algebra - Understanding vector projection - Mathematics Stack ...
I'm learning about vector projection. I understand how to perform it, but I still can't understand what it actually means and what it gives me. Here is a common definition: Vector projection of ...
Linear Algebra: Projection Maps - Mathematics Stack Exchange
Linear Algebra: Projection Maps Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago
linear algebra - How do I exactly project a vector onto a subspace ...
I will talk about orthogonal projection here. When one projects a vector, say v v, onto a subspace, you find the vector in the subspace which is "closest" to v v. The simplest case is of course if v v is …
linear algebra - Why is it called "Orthogonal Projection"? Why not just ...
1 I took linear algebra with this same textbook and went through the same dilemma. I decided that the word "orthogonal" in orthogonal projection is referring to the way some vector v is being projected …
linear algebra - Projection onto a plane - Mathematics Stack Exchange
I was looking at this post ($3D$ projection onto a plane) in which the answer describes how to project a given set of points onto any arbitrary plane. However, this transformation is still of the ...
linear algebra - Formula to project a vector onto a plane - Mathematics ...
I have a reference plane formed by 3 points in R3 – A, B and C. I have a 4 th point, D. I would like to project the vector → BD onto the reference plane as well as project vector → BD onto the plane …