# Linear Algebra -Change of Bases and Markov Chains.

Week 5 Linear Algebra.docx
week_5_linear_algebra.docx

Unformatted Attachment Preview

Don't use plagiarized sources. Get Your Custom Essay on
Linear Algebra -Change of Bases and Markov Chains.
Just from \$13/Page

Week 5
1. ?h?? ?h?? ? = {1 – ? + ? 2 , 1 + ? – 2? 2 , 3 + ? – ? 2 + ? 3 , 4 + ? 3 } Cannot be a basis of ?3 (x)
2. For the polynomial ?(?) = 2 – ? + ? 2 + 4? 3 ? ?3 ,
????? ?h? ??????????? ?? ?(?) ?? ?h? ???????? ????? {1, ?, ? 2 , ? 3 }.
3. Write the change of coordinate matrix from B to C and from C to B
1 1 2
1
1
-1
Where B = {[2] , [1] , [1]} ??? ? = {[ 1 ] , [-1] , [ 1 ]} are two basis of ? 3
1 1 1
-1
1
1
4. In a certain country, every year 15% of the residents from the big cities
move to suburbs, 3% move to rural area, rest stay in the big cities.
10% of the residents in the suburbs move to the big cities, 6% move to the
rural areas, rest stay in the suburbs.
15% of the people in the rural areas move to big cities, 30% move to the
suburbs, and the rest stay in the rural areas.
If the same transition pattern continues, find the % of the population that
will live in big cities, suburbs, and the rural areas in the long run.

attachment

Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.