(a) Show that if L: V V is linear and ker L {0}, then L...
Question:
(b) Show that if rng L ≠ V, then L is not invertible.
(c) Give an example of a linear map with ker L = {0} which is not invertible.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
a If L were invertible then the solution to Lx b would be unique ...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
If a water wave with length L moves with velocity across a body of water with depth d, as in the figure, then (a) If the water is deep, show that v ≈ √gL / (2π). (b) If the water is...
-
If a water wave with length L movies with velocity v across a body of water with depth d, as in the figure on page 776. Than (c) Use the Alternating Series Estimation Theorem to show that if L > 10d,...
-
(a) Show that if a > 0, then the function x xa is strictly increasing on (0, ) to R and that (b) Show that if a lim 0 and limoo lim xoe-00 and limx"_ 0.
-
Two different compounds have the formulation CoBr(SO4) 5NH3. Compound A is dark violet, and compound B is red-violet. When compound A is treated with AgNO3 (aq), no reaction occurs, whereas compound...
-
Rosa de la Mar Corporation ships a load of goods via Southeast Delivery Company. The load of goods is lost in a hurricane in Florida. Who suffers the loss? Explain your answer.
-
Plot the graphs of \(\frac{M X}{m e}\) versus \(r\) and \(\phi\) versus \(r\) for a damped system under rotating unbalance (Eq. (3.81)) for the damping ratios \(\zeta=0,0.2,0.4,0.6,0.8\), and 1....
-
Explain the difference between subharmonic and superharmonic oscillations.
-
The following data are for the two products produced by Aplan Company. The company's direct labor rate is $20 per direct labor hour (DLH). Additional information follows. Required 1. Compute the...
-
You will make a web site that consists of 2 different HTML files and 1 CSS file. The files will be named index.html, page2.html, and assign1.css. Please note the case of these files, Index.html is...
-
Assume that the Financial Management Corporations $1,000-par-value bond had a 5.700% coupon, matured on May 15, 2020, had a current price quote of 97.708, and had a yield to maturity (YTM) of 6.034%....
-
Find all its invariant subspaces W R2, as defined in Exercise 7.4.32, of the following linear transformations L: R2 R2: (a) The scaling transformation (2x, 3y)T (b) The shear (x + 3y, y)T (c)...
-
Use superposition to solve the following inhomogeneous ordinary differential equations: (a) u' + 2u = 1 + cos x (b) u" - 9u = x + sin x (c) 9u" - 18u' + 10u = 1 + ex cos x (d) u" + u' - 2u = sinh x,...
-
Rationalize each denominator. Assume that all variables represent positive real numbers and that no denominators are 0. 5 3r + Vs
-
Why is it necessary to consider these improvements to assess whether the acquisition is attractive?
-
What is the difference between an accounting entity and a legal entity?
-
What is a standard approach to estimate an equity beta?
-
Consider Figure 11.10, which shows the locus of feasible contracts for the population of the nation of Pcoria. The indifference curves are concave, which represents the fact that consumers want full...
-
What are the potential pitfalls of analyzing a transaction like this one based on its IRR or cash multiple?
-
A liquid of 27 wt% acetone and 73 wt% water is to be separated at 25C into a raffinate and extract by multistage, countercurrent liquid liquid extraction with a solvent of pure 1,1,2-trichloroethane....
-
A Alkynes can be made by dehydrohalogenation of vinylic halides in a reaction that is essentially an E2 process. In studying the stereochemistry of this elimination, it was found that...
-
A drug is assumed to be effective with an unknown probability p. To estimate p the drug is given to n patients. It is found to be effective for m patients. The method of maximum likelihood for...
-
Prove the following binomial identity Consider an urn with n red balls and n blue balls inside. Show that each side of the equation equals the number of ways to choose n balls from the urn. (:)- . (2...
-
Lucas27 proved the following general result relating to Exercise 37. If p is any prime number, then (n/j) (mod p) can be found as follows: Expand n and j in base p as n = s0 + s1p + s2p2 + + skpk...
-
Given vectors, v = (1, 1) and w = (5, 4), find the following. v+w= ||vw|| = ||v|| + |||| =
-
If a bank savings account with $ 2 , 4 1 0 will be worth $ 3 , 9 2 1 in 2 years, and if the interest rate is constant, what is the interest rate quote that the bank would post in its window?
-
Solve x2-24x+14= 0
Study smarter with the SolutionInn App