Show that the linear transformation T is not surjective by finding an element of the codomain, v,

Question:

Show that the linear transformation T is not surjective by finding an element of the codomain, v, such that there is no vector u with T (u) = v.

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

See More Books

Question Posted: Jun 01, 2016 02:41 AM

See More Questions

In each case, show that the linear transformation T satisfies T2 = T. (a) T: R2 R2; T(x, y) = (x + y, 0) a+e b+d a +e b+d
Show that the linear transformation R is not injective by finding two different elements of the domain, x and y, such that R(x) = R(y). (S22 is the vector space of symmetric 2 Ã 2 matrices.)...
A linear transformation L: V W is said to map V onto W if L(V) = W. Show that the linear transformation L defined by L(x) = (x1.x1 +x2,x1 +.x2 + x3)T maps R3 onto R3.
Employee earnings records for Redding Company reveal the following gross earnings for four employees through the pay period of December 15. D. Edwards ........... $83,500 A. Seligman...
Suppose that one day, Gilligan (the castaway) eats a magical island plant that turns him into an expert at everything. In particular, it now takes him just half an hour to pick a quart of berries,...
When talking in a small group of strangers, I am calm and relaxed. 1 2 3 4 5 LO.1
Assume that you are a buyer at AllRoad and you are asked to describe the kind of report you want to help you negotiate with vendors. Describe (or sketch the outline of) a report that would give you a...
The Grygiel Company leases a machine with a fair value of $50,000 to the Baker Company. The lease has a life of six years and requires a $10,000 payment at the end of each year. The lease does not...
Rodgers Company makes 27,000 units of a certain component each year for use in one of its products. The cost per unit for the component at this level of activity is as follows: Direct materials...
1- A firm is evaluating an investment that costs $90,000 and is expected to generate annual cash flows equal to $20,000 for the next 6 years. If the firms required rate if return is 10 percent, what...
Let T: P4 P3 be given by T (p(x)) = p(x), where p(x) is the derivative. Find a basis of R(T). Is T surjective?
Suppose that T: U V and S: V W are linear transformations. Prove the following relationship between ranges. R(S T) R(S)
Locate the AICPA Code of Professional Conduct online. Find the Negligence in the Preparation of Financial Statements or Records interpretation (ET section 1.400.040). What does this interpretation...
Small town Diners has a policy of treating dividends as a passive residual. It forecasts that net earnings after taxes in the coming year will be $500,000. The firm has earned the same $500,000 for...
Part 1-Chi-Square Goodness-of-Fit Tests A health psychologist was interested in women's workout preferences. Of the 56 participants surveyed, 22 preferred running, 8 preferred swimming, 15 preferred...
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,070,000, and it would cost another $21,000 to install it. The machine falls...
Problem 1. (10 points) Consider the space X = R22 and the map L XX defined as traceX -traceX L:X X = X 0 0 1. Show that L is a linear map; 2. Find the matrix representation M = mat L in the canonical...
Suppose that the exchange rate is 1.25 = 1.00. Options (calls and puts) are available on the Philadelphia exchangein units of10,000 with strike prices of $1.60/1.00. Options (calls and puts) are...
Explain the difference between a network and a line shapefile.
Explain how two samples can have the same mean but different standard deviations. Draw a bar graph that shows the two samples, their means an standard deviations as error bars. T S
A matrix is said to be a semi-magic square if its row- sums and column sums (i.e., the sum of entries in an individual row or column) all add up to the same number. An example is whose row and column...
Show, by example, how the uniqueness result in Lemma 2.34 fails if one has a linearly dependent set of vectors.
Suppose that v1,... ,vn form a basis for Rn. Let A be a nonsingular matrix. Prove that Av1........Avn also form a basis for Rn. What is this basis if you start with the standard basis: vi = ei?
Use the following information: \ table [ [ Country , \ table [ [ Consumer Prices ] ] , Interest Rates,Current Units ( per US$ ) ] , [ Forecast , 3 - month, 1 - yx Covt Bond,, ] , [ 2 0 2 4 e ,...
Year-to-date, Yum Brands had earned a 3.70 percent return. During the same time period, Raytheon earned 4.58 percent and Coca-Cola earned 0.53 percent. If you have a portfolio made up of 40 percent...
Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Stock C Boom .15 .31 .41 .21 Good .60 .16 .12 .10 Poor .20 .03 .06 .04 Bust .05 .11 .16 .08 a. Your...

Show that the linear transformation T is not surjective by finding an element of the codomain, v,

Question:

(E) | Г2а + 3b — с] 2b – 2c a - b+ 2c T: С + с, т

Step by Step Answer:

We wish to find an output vector v that has no associated input This is the same as requiring that ...View the full answer

Linear Algebra

Students also viewed these Linear Algebra questions