Let W be a subspace of R n , and let x be a vector in R
Question:
Let W be a subspace of Rn, and let x be a vector in Rn.
Prove that x is in W if and only if projW(x) = x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
Since this is an if and only if statement there are two statements to prove L...View the full answer
Answered By
GERALD KAMAU
non-plagiarism work, timely work and A++ work
4.40+
6+ Reviews
11+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let U and W be subspaces of Rn. Define their intersection U W and their sum U + W as follows: U W={X in Rn | X belongs to both U and W}. U+ W= {X in Rn | X is a sum of a vector in U and a vector in...
-
Let A be an m ( n matrix. I s the set W of all vectors x in Rn such that Ax ( 0 a subspace of Rn ? Justify your answer
-
Let L: U V be a linear function, and let W U be a subspace of the domain space. (a) Prove that Y = {L[w] | w W} rng L V is a subspace of the range. (b) Prove that dim Y dim W. Conclude that a...
-
Kaspar Corporation makes a commercial-grade cooking griddle. The following information is available for Kaspar Corporation's anticipated annual volume of 25,600 units. Per Unit Total Direct materials...
-
Is single ownership of a whole industry necessary to exercise monopoly power? How might an industry with several firms achieve the same result? Can you think of any examples?
-
Present Value Analysis of Interest Rate Cap and Journal Entries At July I, 2013, Comiskey Company has $ 10,000,000 of debt due in four years with interest floating at prime. The rate is adjusted...
-
Consider the gasoline mileage data in Table B.3. a. Does the correlation matrix give any indication of multicollinearity? b. Calculate the variance inflation factors and the condition number of...
-
The Coca-Cola Company is a global soft drink beverage company (ticker symbol = KO) that is a primary and direct competitor with PepsiCo. The data in Exhibits 12.1312.15 include the actual amounts for...
-
Image transcription text (4) Now use the AC input (signal generator) for Vin for the inverting ampli?er in ?rst simulation (stepl). Observe the signal generator signal on channel 1 of the...
-
Prepare a balance sheet as of June 30, for the J. L. Gregory Company, using the following data: Accounts payable Accounts receivable Accrued expenses Accumulated depreciation 241,000 505,000 107,000...
-
Let W be a subspace of R n and v a vector in R n . Suppose that w and w are orthogonal vectors with w in W and that v = w + w. Is it necessarily true that w is in W ? Either prove that it is true or...
-
The given vectors form a basis for R 2 or R 3 . Apply the Gram-Schmidt Process to obtain an orthogonal basis. Then normalize this basis to obtain an orthonormal basis. 0 X1 |, X2 2
-
Develop and detail a search strategy for literature from the literature review of your research project.
-
For FY20Q3, how many users based in Boston used a Linux device to visit our website? a. 19 b. 62 c. 0 d. 6
-
Explain in detail how PUMA conduct the customer satisfaction? does it through survey or how?
-
Assume you deposited $1,000 in a bank that offered 10% annual interest rate. If you kept your money for 5 years how much money you would have in the 5th year? 2) You are expecting to receive $1,000,...
-
Wyatt Oil is a multidivisional company with activities spanning the following three industries: oil exploration, oil refining, and gas & convenience store. The following table provides some...
-
You have an investment that will pay you $18,000 per year at the end of each of the next 8 years. Requirement 1: Assuming a discount rate of 11 percent per year, what is the present value of these...
-
Deer Company has the following amounts in the Stockholders Equity category of the balance sheet at December 31, 2014: Preferred Stock, $100 par, 8%, noncumulative (liquidation value of $110 per...
-
Planning: Creating an Audience Profile; Collaboration: Team Projects. Compare the Facebook pages of three companies in the same industry. Analyze the content on all available tabs. What can you...
-
What test can be performed to compare the mean adult height between the first (Q1) and the fourth (Q4) quartiles? (Assume that the underlying variances of adult height in Q1 and Q4 are the same.)...
-
Perform the test in problem 8.143, and report a p-value (two-tailed). Assume that the underlying variances in Q1 and Q4 are the same? Pediatrics A study was conducted to assess the association...
-
Provide a 95% CI for the difference in mean adult height between women in the first and fourth quartiles? Pediatrics A study was conducted to assess the association between climate conditions in...
-
LaToya Limmons is the manager of the Human Resources (HR) department and Javier Jartin is the manager of the sales department for a production company headquartered in the United States but also has...
-
The beam AD is fixed to a rigid wall at A and is supported by props at B and C as shown in figure 1. In sections AB and BC, the flexural rigidity is EI, but in section CD the flexural rigidity is...
-
What is the meaning of 'framing' and how does it impact the way we negotiate? (Your own opinion)
Study smarter with the SolutionInn App