a. Show that the rotation matrix applied to the vector x = (x1, x2)t has the geometric
Question:
![A. Show that the rotation matrixapplied to the vector x](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images10/731-M-N-A-N-L-A(903).png)
applied to the vector x = (x1, x2)t has the geometric effect of rotating x through the angle θ without changing its magnitude with respect to the l2 norm.
b. Show that the magnitude of x with respect to the lˆž norm can be changed by a rotation matrix.
Transcribed Image Text:
cos θ sin θ -sin θ cos θ
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (14 reviews)
a b First note that for any vector x x1 x2 we have 122 Cos sin 0 In a similar m...View the full answer
Answered By
Asim farooq
I have done MS finance and expertise in the field of Accounting, finance, cost accounting, security analysis and portfolio management and management, MS office is at my fingertips, I want my client to take advantage of my practical knowledge. I have been mentoring my client on a freelancer website from last two years, Currently I am working in Telecom company as a financial analyst and before that working as an accountant with Pepsi for one year. I also join a nonprofit organization as a finance assistant to my job duties are making payment to client after tax calculation, I have started my professional career from teaching I was teaching to a master's level student for two years in the evening.
My Expert Service
Financial accounting, Financial management, Cost accounting, Human resource management, Business communication and report writing. Financial accounting : • Journal entries • Financial statements including balance sheet, Profit & Loss account, Cash flow statement • Adjustment entries • Ratio analysis • Accounting concepts • Single entry accounting • Double entry accounting • Bills of exchange • Bank reconciliation statements Cost accounting : • Budgeting • Job order costing • Process costing • Cost of goods sold Financial management : • Capital budgeting • Net Present Value (NPV) • Internal Rate of Return (IRR) • Payback period • Discounted cash flows • Financial analysis • Capital assets pricing model • Simple interest, Compound interest & annuities
4.40+
65+ Reviews
86+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Show that f in example 3.1 is linear. The function f : 2 2 defined by F( x1, x2) = (x1 cos - x2 sin ,x1 sin + x2 cos ), 0 0 2 rotates any vector in the plane counter clock wise through the angle...
-
a) Prove that ||B(x, y)|| = ||(x, y)|| for all (x, y) R2. b) Let (x, y) R2 be a nonzero vector and represent the angle between B(x, y) and (x, y). Prove that cos = cos . Thus, show that B rotates...
-
Random variables X1 and X2 have zero expected value. The random vector X = [X1 X2] has a covariance matrix of the form (a) For what values of α and β is C a valid covariance...
-
The Chief Financial Officer at Ford Motor Company is said to usea hybrid-costing system. Define the hybrid-costing system. Explainthe advantages to this company to use this system. I want a 10 page 2...
-
From the following price data, compute the annual rates of return for Asman and Salinas. How would you interpret the meaning of the annual rates ofreturn? Time Asman Salinas $10 12 S30 13
-
The lower and upper specifications for a software upgrade are 77 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your a
-
Ratio Analysis} Bari Sports' net sales, average net trade accounts receivable, and net income were \(\$ 7,300,000\), CORNERSTONE 5.5 \(\$ 842,000\), and \(\$ 390,000\), respectively....
-
Premier Golf Carts makes custom golf carts that it sells to dealers across the Southeast. The carts are produced in two departments, fabrication (a mostly automated department) and custom finishing...
-
Evaluate / (V x F) . dS, where M is the surface x + y + 112 = 1, z
-
Amerbran Company was a diversified company that sold various consumer products, including food, tobacco, distilled products, and personal care products and financial services. Financial statements...
-
Use the Inverse Power method to determine, to within 105, the eigenvectors of the matrices in Exercise 2. In exercise a. b. c. d. 2 0 1 -12 0 -2 3 023 142 00024 00242 02420 24200 42000 00013 00031...
-
Let P be the rotation matrix with pii = pjj = cos θ and pij = pji = sin θ, for j pg (sint)apit If ifqi if p i.j, (cos )Api_ (sin )ani, pg
-
Baden Corporation entered into a lease agreement for 10 photocopy machines for its corporate headquarters. The lease agreement qualifies as an operating lease in all terms except there is a...
-
Identify the three categories of activities that pertain to completing the audit.
-
a. When is a basis of accounting considered to be an other comprehensive basis of accounting (OCBOA)? b. Explain the effects on the auditor's standard report when reporting on financial statements...
-
a. Distinguish between the terms subsequent events and subsequent events period. b. Define the two types of subsequent events and indicate the accounting treatment of each type. c. What is the...
-
a. What types of reports are encompassed by the term special reports as described in SAS 62? b. State a common characteristic of the types of data covered by special reports.
-
a. What evidence is required in an audit of litigation, claims, and assessments? b. What is a letter of audit inquiry? c. What effects may failure of a lawyer to respond to a letter of audit inquiry...
-
The ionization energies of rubidium and silver are 4.18 and 7.57 eV, respectively. Calculate the ionization energies of an H atom with its electron in the same outermost orbitals as in these two...
-
Making use of the tables of atomic masses, find the velocity with which the products of the reaction B10 (n, ) Li7 come apart; the reaction proceeds via interaction of very slow neutrons with...
-
Use the definitions of the hyperbolic functions to find each of the following limits. (a) lim tanh x (b) lim tanh x (c) lim sinh x (d) lim sinh x (f) lim coth X (e) lim sech x (g) lim coth x (h) lim...
-
Prove the formulas given in Table 1 for the derivatives of the functions (a) Cosh, (b) Tanh, (c) Csch, (d) Sech, and (e) Coth.
-
Give an alternative solution to Example 3 by letting y = sinh1 x and then using Exercise 9 and Example 1(a) with replaced by y.
-
Spielberg Company s general ledger shows a cash account balance of $ 2 3 , 2 2 0 on July 3 1 , 2 0 2 4 . Cash sales of $ 1 , 8 8 5 for the last three days of the month have not yet been deposited....
-
1 5 . For the Coca - Cola bonds described in question 1 4 , prepare journal entries to record ( a ) any unrealized gains or losses occurring in 2 0 2 4 and ( b ) the sale of the bonds in 2 0 2 5 ,...
-
David was hired as the Chief Executive Officer (CEO) of Gamma Corporation, a publicly-traded company in the energy sector, on January 1, 2022. For the fiscal year 2023, Gamma Corporation compensated...
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App