Computing linear algebra-vector spaces

Reference no: EM13125574

Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2):

x+y=(x2+y2,x1+y1) and for any scalar alpha, alpha*x=(alpha*x1, alpha*x2)

Is it a vector space, if not demonstrate which axioms fail to hold. Also, show that Pn- the space of polynomials of order less than n is a vector space.

Reference no: EM13125574

Questions Cloud

Define and write characteristics of normal probablity curve : Define and mention characteristics of normal probablity curve, Distinguish a group of 500 people into three groups assuming that the attribute of grouping is normally distributed.

Complete the following equations in molecular form : Complete the following equations in molecular form. The reactant coefficients are correct. Indicate precipitation, redox, or acid – base. Write the equations in NET ionic form (no spectator s). Balance charges and use the correct suffixes.

Linear algebra-matrix of transformation : Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.

Explain how has the sarbanes-oxley bill influenced : Explain how has the Sarbanes-Oxley Bill influenced reporting by governmental agencies and not-for-profit organizations? Does the Public Company Accounting Oversight Board have authority to establish auditing standards for not-for-profits?

Computing linear algebra-vector spaces : Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.

Budget constraint of a household in a two-period model : Describe how the budget constraint of a household in a two-period model is affected by each of the following changes. In each case, do you think that the household is better off or worse off, or is the answer ambigous? If ambigous, what does the a..

Find an example of an impairment of pp&e : find an example of an impairment of PP&E or a significant gain or loss (large enough to have an effect on the reported numbers) on the disposal of an asset by a publicly traded firm.

Dividends received from the securities : An alumnus donates securities to St. Aloysius College, a private college, and stipulates that the principal be held in perpetuity and income from the securities be used for faculty travel. Dividends received from the securities should be recognize..

Balancing equation to calculate correct number of moles : Balancing equation to calculate correct number of moles If CaC2 + 2 H2O --> C2H2 + Ca(OH)2 then, there are 65 grams of calcium carbide

User Account

All Pages