# Linear Algebra assignment

3 linear algebra question

[9 pts] Prove or disprove the following statements.(a) Let V = C 4 and let S1 and S2 be two nonempty subsets of V . Then S1 = S2 if and only if S ⊥ 1 = S ⊥ 2 .(b) The subset U = {v ∈ R 3 : kvk ≤ 12} is a subspace of R 3 .(c) Let V = P3(R). Any linear operator on V whose eigenvalues are 1, 2, 3, and 4 is diagonalizable.2. [8 pts] Let W be an inner product space and suppose T is a linear operator on W with adjoint T ∗ .(a) Prove that if T ∗T = 144 · IW , then kT(x)k = 12kxk for all x ∈ W.(b) Suppose W is not the zero vector space. Is it possible for T ∗T = 4i · IW ? Explain your answer.3. [14 pts] Let β = {1, x, x2} denote the standard ordered basis for P2(R). Suppose T : P2(R) → P2(R) is linear map with [T]β =   −2 1 0 0 −2 0 0 0 7   .(a) Compute T(f(x)) where f(x) = 1 − 3x. Is f(x) an eigenvector for T? Explain your answer.(b) Is (1, 0, 0) an eigenvector of T? Explain your answer.(c) Compute the characteristic polynomial of T. Then compute the eigenvalues of T and their algebraic multiplicities.(d) Determine if T is diagonalizable.
Get Professional Assignment Help Cheaply

Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?

Whichever your reason may is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.

Our essay writers are graduates with diplomas, bachelor’s, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college diploma. When assigning your order, we match the paper subject with the area of specialization of the writer.

Why Choose Our Academic Writing Service?

Plagiarism free papers
Timely delivery
Skilled, Experienced Native English Writers
Ability to tackle bulk assignments
Reasonable prices

How It Works

1.      Place an order

You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.

2.      Pay for the order

Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.

3.      Track the progress

You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.

The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

Get Professional Assignment Help Cheaply
Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?
Whichever your reason may is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.
Our essay writers are graduates with diplomas, bachelor’s, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college diploma. When assigning your order, we match the paper subject with the area of specialization of the writer.
Why Choose Our Academic Writing Service?

Plagiarism free papers
Timely delivery
Skilled, Experienced Native English Writers
Ability to tackle bulk assignments
Reasonable prices

How It Works
1.      Place an order
You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.
2.      Pay for the order
Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.
3.      Track the progress
You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.
The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

PLACE THIS ORDER OR A SIMILAR ORDER WITH ASSIGNMENT WORKER TODAY AND GET AN AMAZING DISCOUNT

The post Linear Algebra assignment appeared first on Essay fount.

#### What Students Are Saying About Us

.......... Customer ID: 12*** | Rating: ⭐⭐⭐⭐⭐
"Honestly, I was afraid to send my paper to you, but you proved you are a trustworthy service. My essay was done in less than a day, and I received a brilliant piece. I didn’t even believe it was my essay at first 🙂 Great job, thank you!"

.......... Customer ID: 11***| Rating: ⭐⭐⭐⭐⭐
"This company is the best there is. They saved me so many times, I cannot even keep count. Now I recommend it to all my friends, and none of them have complained about it. The writers here are excellent."