We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Let W be the subspace of R4 spanned by the orthogonal vectors 1 0 0 ui...
(1 point) Find the orthogonal projection of 11 onto the subspace W of R4 spanned by 1 2 -2 and *20 -2 projw() =
(5 points) Let 5 -4 v= 1-3 -3 and let W the subspace of R4 spanned by ū and 7. Find a basis of W?, the orthogonal complement of W in R4.
(3 points) Let W be the subspace of R spanned by the vectors 1and 5 Find the matrix A of the orthogonal projection onto W A- (3 points) Let W be the subspace of R spanned by the vectors 1and 5 Find the matrix A of the orthogonal projection onto W A-
Find the orthogonal projection of v = |8,-5,-5| onto the subspace W of R^3 spanned by |7,-6,1| and |0,-5,-30|. (1 point) Find the orthogonal projection of -5 onto the subspace W of R3 spanned by 7 an 30 projw (V)
(1 point) Find the orthogonal projection of 4 -11 11 onto the subspace W of R4 spanned by 2 2 2 -3 and 1 2 projw(1) =
(1 point) Find the orthogonal projection of U = onto the subspace W of R4 spanned by --0-0-1 Uw =
(1 point) Let W be the subspace of R spanned by the vectors 27 1 and -7 Find the matrix A of the orthogonal projection onto W. A =
(1 point) Find the orthogonal projection of 6 17 = -18 20 onto the subspace W of R4 spanned by 2 4 -4 and 1 18 Lo] projw (ū) = –
Let W be the subspace spanned by ui and u2, and write y as the sum of a vector vi in Wand a vector v2 orthogonal to w -4 -8 NOTE: You should fill in all the boxes below before submitting. Both vectors are to be submitted at once. Answers can be entered as numerical formulae, or rounded to 3 decimal places. You may use a calculator for the arithmetic operations
Q6. Let W be the subspace of R' spanned by the vectors u. = 3(1, -1,1,1), uz = 5(–1,1,1,1). (a) Check that {uj,uz) is an orthonormal set using the dot product on R. (Hence it forms an orthonormal basis for W.) (b) Let w = (-1,1,5,5) EW. Using the formula in the box above, express was a linear combination of u and u. (c) Let v = (-1,1,3,5) = R'. Find the orthogonal projection of v onto W.