Compute the orthogonal projection of onto the line through and the origin. The orthogonal projection is
-3 - 1 Compute the orthogonal projection of ܝ ܝ onto the line through and the origin. 2 The orthogonal projection is
-7 (1 point) Compute the orthogonal projection of v = v-3 onto the line L through 4 and the origin. -4 proj( ) =
Consider the matr ix NR (a) Compute the orthogonal projection onto Ran(A). (b) Compute the orthogonal projection onto Null(AT).
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...
Verify that is an orthogonal set, and the find the orthogonal projection of 3 onto Span1 Verify that is an orthogonal set, and the find the orthogonal projection of 3 onto Span1
(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].
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...
Verify that {u7,42} is an orthogonal set, and then find the orthogonal projection of y onto Span{uq, 42}- 6 3 - 4 y- . 01 u:- -2 0 To verify that (14,42} is an orthogonal set, find uy • 42. u uy - (Simplify your answer.) The projection of y onto Span{44,42} is .. (Simplify your answers.)
Verify that (41.uz) is an orthogonal set, and then find the orthogonal projection of y onto Span{41.42}- y = 1 0 To verify that {0, 42} is an orthogonal set, find u, '42. u U2 - 0 (Simplify your answer) The projection of y onto Span{u, uz} is (Simplify your answers)
Verify that (u,,uz) is an orthogonal set, and then find the orthogonal projection of y onto Span (u.uz). 1-17 [3] 2,,= -1 . uz = = To verify that (uy,uz) is an orthogonal set, find u. U. Uyuz = 0 (Simplify your answer.) The projection of y onto Span{u,, 42} is (Simplify your answers.)