Solution:
Let
Now, normalize to obtain an orthonormal basis:
The factorization of is , where
#13 6.4.15 Question Help 1 3 4 1 - 1 2 An orthogonal basis for the column space of matrix A is {V1, V2, V3). Use this orthogonal basis to find a QR factorization of matrix A. - 1 -3 1 - 1 1 3 A= 0 22 V2 2 V3 - 1 5 3 -2 1 1 1 5 8 1 3 Q=RE (Type exact answers, using radicals as needed.)
Find an orthogonal basis for the column space of the matrix to the right. -1 5 5 1 -7 4 1 - 1 7 1 -3 -4 An orthogonal basis for the column space of the given matrix is O. (Type a vector or list of vectors. Use a comma to separate vectors as needed.) The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for 3 W. 6 -2 An...
linear algebra question 0. Given 1 3-5 1 1 -2 1-3 1 and b If the Gram-Schmidt process is applied to determine an orthonormal basis for R(A), and a QR factoriza- tion of A then, after the first two orthonormal vectors qi and q are computed, we have 2 -2 2 2 2 2 2 (a) Finish the process. Determine q3 and fill in the third columns of Q and R (b) Use the QR factorization to find the least...
7. Find the QR factorization of 3 6 -37 A = 14 8 6 0 4 5
(1 point) Find the QR factorization of 2 3 5 2 6 -10 0 M = 1 M=
Jump to level 1 -0.99 -0.12 0 -2 01 0 -0.24 -0.12 0.96 given Q 0 3 -1 Find the QR factorization of A -0.24 -0.97 0.03 1 Ex: 1.23 R = 3 Next Check Feedback? Additional exercises About Exercise 24.5.1: Orthogonal matrices.
PLEASE HELP ME WITH BOTH Previous 1 2 3 4 un 6 7 8 9 10 Next Question 9 of 23 (1 point) View problem in a pop-up Refer to the functions r. p, and q. Find the function (p - r)(x) and write the domain in interval notation. Write any number in the answer as an integer or a simplified fraction. r(x) = 7x P(x)= x2 + x 9(x) = 6 - -X Part 1 out of 2 (p...
Problem 6 (18 pts.): Let A be a 4 x 2 matrix given by: -1 -5 1 1 1 A= -1 -1 1 5 a) Compute the Gram-Schmidt QR factorization of A. b) Use the QR factorization to find the least squares solution of Az = 6, where 6= (-2,-1,5,0).
Question 15 2 pts 5 1 0 Details 10 kW) 9 8 7 6 5 4 3 2 1 10 -9 -8 -7 -6 -5 - -3 -2 4 5 6 7 8 9 را به -5 -6 -7 -9 Given the function above, find the average rate of change for k from-5 to 0.
Output MWTP MC 1 20 5 2 18 6 3 16 7 4 14 8 5 12 9 6 10 11 7 8 15 8 6 21 9 4 30 10 2 40 1. The values for MWTP and MC are given belohli a. Graph these curves and find equilibrium. b. label consumer and producer surplus. c. Show that any other level [Q] the net social bei!!! Why?