Show that the only subspaces of R2 are {0}, R2, and any set consisting of all scalar

Question:

Show that the only subspaces of R2 are {0}, R2, and any set consisting of all scalar multiples of a nonzero vector.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 07:03 AM

See More Questions

Show that the only subspaces of R1 are {0} and R1 itself.
Show that the only subspaces of V that are T-invariant for every operator T : V V are 0 and V. Assume that V is finite dimensional. [Hint: Theorem 3 7.1.1
Show that the only vector x in R2 or R3 that is orthogonal to every other vector is the zero vector.
The Federal Reserve may raise its benchmark interest rate later this month. How is this achieved? Why would they do this? Explain the consequences fully. (Include graphs with your answer)
Radford Castings can produce brake shoes on six different machines. The following table summarizes the manufacturing costs associated with producing the brake shoes on each machine along with the...
Write an application that prompts a user for a full name and street address and constructs an ID from the users initials and numeric part of the address. For example, the user William Henry Harrison...
Show that the following eight vectors are pairwise orthogonal: \[\begin{aligned}& s 1=(1,1,0,0,0,0,0,0)^{T} \\& s 2=(0,0,1,1,0,0,0,0)^{T} \\& s 3=(0,0,0,0,1,1,0,0)^{T} \\& s 4=(0,0,,0,0,0,1,1)^{T}...
You have been given the following return data on 3 assetsF, G, and Hover the period 20152018. Using these assets, you have isolated 3 investment alternatives: Alternative Investment 1 ........ 100%...
identify your own example of improper sampling from your day-to-day life (try not to repeat examples shared by your peers). Be sure to provide the sampling method used, why the sampling method is...
The condensed financial statements of Murawski Company for the years 2016 and 2017 are presented below. (Amounts in thousands.) Compute the following ratios for 2017 and 2016. (a) Current ratio. (b)...
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
The set W of all 2 ( 3 matrices of the form Where c = a + b, is a subspace of M23. Show that every vector in W is a linear combination of And da 1 wi = 20 0 0
In what respect does the arrangement known as accord and satisfaction involve a discharge of a contract?
Review the NPV results for each project, than answer the questions below, Project 1: Discount Rate (rate of return) 10% Cash flow for year one $0.00 Cash flow for year two $100,000.00 Present value...
Barrington Inc. has never paid dividends before. Today, it made a public announcement that it will pay an annual dividend of $2.00 two year from now. It also stated that dividends would increase by...
Using only information from AirTran, Frontier, Ryanair, Southwest and Westjet, please perform a price-earnings multiples valuation and a EBIT Multiples valuation for both trailing and leading for...
After completing her analysis, she learned from another publisher that these binding machines, although a necessary part of her business, required considerable maintenance. Rochelle got a maintenance...
Amundson Media is considering a new project that is expected to generate annual revenues of $174,800, with costs of $135,100.The annual depreciation is $18,400 and the tax rate is 21 percent. The...
HOG Company makes its product for $60 per unit and sells it for $130 per unit. The sales staff receives a commission of 10% of sales. Its June income statement follows. Management expects Junes...
A company produces earbuds. The revenue from the sale of x units of these earbuds is R = 8x. The cost to produce x units of earbuds is C = 3x + 1500. In what interval will the company at least break...
Find the equation of the conic section that passes through the points (0, 0), (0, - 1), (2, 0), (2, - 5), and (4, - 1).
Show that Equation 10 is the equation of the conic section that passes through five given distinct points in the plane.
A certain forest is divided into three height classes and has a growth matrix between harvests given by If the price of trees in the second class is $30 and the price of trees in the third class is...
The bonds of Venture Ltd . has 8 years remaining to maturity. Its annual coupon rate is 6 % with a face value of $ 1 , 0 0 0 . The prevailing market interest rate is 8 % . The interest is paid semi -...
Convert the following C functions into ARMv8 assembly language. Again, comment each line of assembly code on what it does. Note that local variables should be kept in function's stack frame. 1)...
What are the four main types of financial services?Which type of financial services will help you accomplish your short, intermediate, and long-term goals?For example, I use savings financial...

Show that the only subspaces of R2 are {0}, R2, and any set consisting of all scalar

Question:

Step by Step Answer:

Certainly 0 and R 2 are subspaces of R 2 If u is any nonzero vector then span u is a subspace of R 2 ...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions