Finding powers of a matrix?
OK, our book does a pretty poor job of covering this one topic, and I can't find it anywhere else on the web. How do you find the formula for the n-th power of a 2*2 matrix (where n is a positive integer). For example, I have the matrix -1 1 -16 7 How do I take it to the, say, 7th power without multiplying the damn thing 7 times by itself?
Asked By: rahidz2003 - 4/6/2006
Best Answer - Chosen by Asker
Diagonalisation is the answer here. Not sure how this didn't turn up in a web search, as I found plenty of resources for it, but the idea is that you find a matrix that diagonalises your initial matrix, and this allows powers to be done trivially... More
Answered By: Ross B - 4/6/2006
Additional Answers (5)
2x2 to the seventh power
Answered By: charlesoflagro - 4/6/2006
2 start with,a 2 by 2 matrix is one with 2 columns and 2 rows.Remember rows are horizontal(like across the line) and columns are vertical(like down the line).In other words,a 2 by 2 matrix consist of 4 seperate numbers.e.g... More
Answered By: babzikay - 4/6/2006
if you go to www.quickmath.com You should get an answer of (-18225,5103) (-81648,22599)
Answered By: still_a_virgin81 - 4/6/2006
For a 2x2 matrix, the easiest way is probably by using the characteristic polynomial. Let A be your matrix. Then... More
Answered By: mathematician - 4/6/2006
Ross B and mathematician gave the most practical answers. I have one comment on this remark of yours, though... More
Answered By: Dan D - 4/6/2006
(89) Local Jobs Paying $19-$97 Per Hour- Available Today. Apply Now!
$21/hr Start, Avg Pay $72K/yr No Experience Needed! Get Started.
New job opportunities added daily. Search & apply for DC jobs now.
We need people to fill a number of positions at Home
Other Career Questions
What jobs are there in the business field that are night jobs? Places and job titles please. Im have a BA in Business Admin and looking for a night job, already have a morning/day job.
Enumerate these jobs Say, patent application writting. patent application writing. In a company, what jobs are needed to keep confidential?
Content is not owned or controlled by Monster. Any content concerns should be addressed with Yahoo!
Yahoo! Does not evaluate or guarantee the accuracy of any Yahoo! Answers content. Yahoo! Disclaimer.
Best-Paying Work-from-Home Jobs
It’s easier than ever to work from home. Of course, not every job is a mobile job, and some companies aren’t interested in having their employees work from home.
2013 Marketing Jobs Outlook
The US may be facing another year of anemic hiring overall, but that won't be the case in the high-orbit world of multichannel, digital media marketing.
2013 Engineering Jobs Outlook
Engineers will find job opportunities in select disciplines in 2013, with candidates who are all-around, client-oriented businesspeople in demand.
Best-Paying Jobs by Major
What could you earn with a particular four-year degree? Find out by checking out this list of the top-paying jobs for 20 of the most common majors.
Eight High-Paying, Secure Jobs
Want to earn a good salary and enjoy a measure of job security as well? Check out these well-paying jobs on tap for fast growth in the coming years.