Let x and y be vectors in Rn and let Q be an n x n orthogonal
Question:
z = Qx and w = Qy
then the angle between z and w is equal to the angle between x and y.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (11 reviews)
If 1 is the angle between x and y and 2 is the ...View the full answer
Answered By
Nyron Beeput
I am an active educator and professional tutor with substantial experience in Biology and General Science. The past two years I have been tutoring online intensively with high school and college students. I have been teaching for four years and this experience has helped me to hone skills such as patience, dedication and flexibility. I work at the pace of my students and ensure that they understand.
My method of using real life examples that my students can relate to has helped them grasp concepts more readily. I also help students learn how to apply their knowledge and they appreciate that very much.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Let Q be an orthogonal 2 ( 2 matrix and let x and y be vectors in. If ( is the angle between x and y, prove that the angle between Qx and Qy is also (. (This proves that the linear transformations...
-
Let x and y be vectors in an inner product space. Show that if x y then the distance between x and y is (||x||2 + ||y||2)1/2
-
Let x and y be vectors in Rn and define (a) Show that p ¥ z. Thus p is the vector projection of x onto y; that is, x = p + z, where p and z are orthogonal components of x, and p is a scalar...
-
Write a brief paper on the following topic: "Why have gasoline prices risen so high in the recent years?" Write down the reasons and divide into supply and demand effects on the market. Describe the...
-
An important way in which the Federal Reserve decreases the money supply is by selling bonds to the public. Using a supply-and-demand analysis for bonds, show what effect this action has on interest...
-
Two drugs were tested to see whether they helped women who had breast cancer without lymph node involvement. The drugs are called TAC (docetaxel, doxorubicin, and cyclophosphamide) and FAC...
-
What is a pump? What are its functions?
-
After-Tax Cost of Debt LL Incorporateds currently outstanding 11% coupon bonds have a yield to maturity of 8%. LL believes it could issue at per new bonds that would provide a similar yield to...
-
The electric field in a particular space is E = (x + 2)1 N/C, with x in meters. Consider a cylindrical Gaussian surface of radius 39 cm that is coaxial with the x axis. One end of the cylinder is at...
-
As of December 31, 2018, XYZ Company's unadjusted trial balance shows the following accounts and balances: Account Debit Credit Cash $60,000 Accounts Receivable Supplies Prepaid Insurance Prepaid...
-
Let A be a 7 x 5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental subspaces associated with A are R(A), N(AT), R(AT), and N(A). (a) What is the dimension of N(AT) and...
-
Let S be the two dimensional subspace of R3 spanned by (a) Find a basis for S¥. (b) Give a geometric description of S and S¥. (c) Determine the projection matrix P that projects vectors in R3...
-
To invest or not to invest, what do you do? After analyzing the financial statements and thoroughly researching a company, you have realized that the firm has had zero interest-bearing debt (no...
-
Subtract: (-18-25i) (1721) difference =
-
The futures prices of three sequential CME Sterling Currency Futures are shown below. Futures March June Sept. Prices $1.2105 $1.2085 $1.2075 (tick size=0.01c; tick value = $6.25) A speculator sells...
-
3- A sequential circuit has two JK-flip flops A and B, two inputs x and y, and one output z. The flip flop input equations and circuit output equations are, (13 marks): JA=A+Y, K=A'x, Ja=B+x, K=xy,...
-
Determine Net income for tax purposes based on the below criteria and any carry forward amounts? T4 Income $75,000 Business Loss $15,000 Taxable Capital Gains $5,000 Allowable Capital Losses $12,000...
-
Your firm uses the perpetual inventory system. Journalize the following transactions using these accounts: Cash, Accounts Receivable/Josti, Merchandise Inventory, Accounts Payable/ CCM, Sales, Sales...
-
After selling all partnership assets and paying all creditors, the capital account balance of partner A is a $10,000 credit and of partner B is a $2,000 debit. What is the Cash in Bank balance? What...
-
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (t 2 , sin t - t cos t, cos t + t sin t), t > 0
-
Find the equations of the line of intersection of the following planes. 3x + y - 2z = 1 and x + y + 2 = 5.
-
Find the angle between the following pairs of vectors. (a) = [3 -1 0]T, = [-6 2 0]T (b) = [2 1 -1]T, = [3 6 3]T (c) = [0 3 4]T, = [52 -7 -1]T
-
In each case, find all points of intersection of the given plane and the line [x y z]T = [1 -2 3]T + t[2 5 -1]T. (a) 2x - y - z = 5 (b) -x - 4y - 3z = 6
-
1. Explain what the "Deinstitutionalization Mandate" is. This should be done in at least two paragraphs. 2. In another two paragraphs, discuss how status offenses are connected to the...
-
You are the owner of a very small business that sells gourmet coffee. You sell only one product, a 12-ounce bag of whole-bean French roast coffee. You sell each bag of coffee for $14 each, but due to...
-
Find the instantaneous rate of change of the function f(t)=3+5t when t=-3.
Study smarter with the SolutionInn App