The Square Matrix

Mathematics II (Applied) —BESS Assignment 3Exercise 1 Consider the square matrixA =? ? 1 2 10 1 0 1 0 1? ?(a) Calculate the eigenvalues of A and decide whether the matrix is diagonalizable. Justify your answer. (b) Find the associated eigenspaces of A. (c) Write the eigendecomposition of the power matrix A3 and of the exponential matrix eA. (d) Consider the matrixB = A ·eAProve B is diagonalizable and find the diagonal matrix D similar to B.Exercise 2 Let b : R ? R. Consider the dynamical systemx? = x2b(t)(a) Provide a suffi cient condition for the function b : R ? R such that for every initial point (x0, t0) ? R2 there exists a unique solution of the IVP. Justify your answer. (b) Puttingb(t) = etcompute the general solution ?(t;c) of the ODE. (c) Find the particular solution ?? of the IVP with starting point (x0, t0) = (0,1) and specify its domain I ? R.

Struggling to find relevant content? Order a custom essay on
The Square Matrix
Let our experts save you the hassle
Order Now
Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
Sign up, place your order, and leave the rest to our professional paper writers in less than 2 minutes.
step 1
Upload assignment instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Get personalized services with GPA Fix
One writer for all your papers
You can select one writer for all your papers. This option enhances the consistency in the quality of your assignments. Select your preferred writer from the list of writers who have handledf your previous assignments
Same paper from different writers
Are you ordering the same assignment for a friend? You can get the same paper from different writers. The goal is to produce 100% unique and original papers
Copy of sources used
Our homework writers will provide you with copies of sources used on your request. Just add the option when plaing your order
What our partners say about us
We appreciate every review and are always looking for ways to grow. See what other students think about our do my paper service.
Thank you!
Customer 452707, June 29th, 2022
Business and administrative studies
Customer 452813, June 30th, 2022
Great work! Thank you so much.
Customer 452707, July 15th, 2022
Writer went above and beyond. Can't believe how much work they put in for the price.
Customer 452707, July 10th, 2022
Great job
Customer 452643, October 31st, 2021
i got the paper a bit late but it is good quality will for sure come back and use this website.
Customer 452611, September 9th, 2021
Customer 452813, July 5th, 2022
Criminal law
Thank You!
Customer 452465, January 29th, 2021
English 101
I'm glad i came to you guys
Customer 452519, May 11th, 2021
Customer 452813, June 21st, 2022
Social Work and Human Services
Great Work!
Customer 452587, September 16th, 2021
Customer 452813, July 5th, 2022
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat
error: Content is protected !!

Save More. Score Better. Use coupon code SPECIAL for a 15%discount