(1 point) Find the matrix A of the orthogonal projection onto the line L in R2 that consists of all scalar multiples of the vector [63].
(1 point) Find the matrix A of the orthogonal projection onto the line L in R2...
5.4. Find the matrix of the orthogonal projection in R2 onto the line x1 = –2x2. Hint: What is the matrix of the projection onto the coordinate axis x1? Problem 5. Problem 5.4 on page 23. The following method is suggested: (1) Find an angle o such that the line x1 = –2x2 is obtained by rotating the x-axis by 0. (2) Convince yourself with geometry that to project a vector v onto the line x1 = –2x2 is the...
Problem 7. Let P R2 -> R2 be the orthogonal projection onto the line Li Let P2 R2 R2 be the orthogonal projection onto the line L2: x32 2r2 0. 0. (1) What are the image and kernel of P2P What is the rank of P2P? Give a geometric description, without relying on the matrix of P2P (2) Find the matrix that represents P2P Problem 7. Let P R2 -> R2 be the orthogonal projection onto the line Li Let...
Let R2 have the Euclidean inner product. (a) Find wi, the orthogonal projection of u onto the line spanned by the vector v. (b) Find W2, the component of u orthogonal to the line spanned by the vector v, and confirm that this component is orthogonal to the line. u =(1,-1); v = (3,1) (a) wi = Click here to enter or edit your answer (0,0) Click here to enter or edit your answer (b) 2 = W2 orthogonal to...
-7 (1 point) Compute the orthogonal projection of v = v-3 onto the line L through 4 and the origin. -4 proj( ) =
Compute the orthogonal projection of onto the line through and the origin. The orthogonal projection is
show all work please, thanks Find the projection of vector v onto line L. v = <5,-1,2>, L: x=3, y + 4 22 3 # 1 , 2: Find the projection of vector 1. =(5,-1,2), l: x = onto line f. y+4 3, -1 Z-2 3 y + 4 22 3 # 1 , 2: Find the projection of vector 1. =(5,-1,2), l: x = onto line f. y+4 3, -1 Z-2 3
This is an advanced linear question on linear algebra. Please answer as soon as possible. 3. (15 points) Let L denote the line in the plane consisting of all scalar multiples of the veto hat is the matrix that represents the orthogonal projection of R2 onto the line L
4 1|and b-l-2 Let A-13 a) Find the orthogonal projection p of b onto C(A) with its error vector. b) Find the least squares approximation, £, to the solution vector x of Ai- c) The least squares error is defined to be the length of the vector b - AX. Find this vector and its length. d) What is the relationship between A, , and p? 4 1|and b-l-2 Let A-13 a) Find the orthogonal projection p of b onto...
(1 point) Find the orthogonal projection of U = onto the subspace W of R4 spanned by --0-0-1 Uw =
(1 point) Find the orthogonal projection of onto the subspace W of R* spanned by ņ + 9 and Otac projw() = 1