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#1 2013-07-15 03:09:05
- mowgli
- Member
- Registered: 2013-07-15
- Posts: 3
Matrix Exponent of Upper Triangular Matrix
Hi there everyone.
I was wondering if you can help me with the following question:
If I have a general upper triangular matrix such as:
A^n = -----d^n---n(u)d^n-1--------------(ignore dashes)
--------------0-------d^n
How to i find e^a and/or e^x using taylor series?
If the general matrix is difficult to compute onto text, consider any basic upper triangular matrix as an example.
Such as:
A = [2 4]
-----[0 2]
I'd be grateful for any help!
Getting bamboozled by Maths since 1987 
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#2 2013-07-15 03:12:54
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Matrix Exponent of Upper Triangular Matrix
Hi;
Why wouldn't you just plug into the Taylor series?
What is a?
Start by computing A^n.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2013-07-15 04:07:43
- mowgli
- Member
- Registered: 2013-07-15
- Posts: 3
Re: Matrix Exponent of Upper Triangular Matrix
How do you go from the final matrix shown to a matrix of exponential functions?
Getting bamboozled by Maths since 1987
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#4 2013-07-15 04:12:03
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Matrix Exponent of Upper Triangular Matrix
Check post #2, that is the whole process.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2013-07-15 05:05:24
- mowgli
- Member
- Registered: 2013-07-15
- Posts: 3
Re: Matrix Exponent of Upper Triangular Matrix
Thanks a lot, you are the best.
:D:D:D:D:D:D:D:D:D
Getting bamboozled by Maths since 1987
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#6 2013-07-15 14:41:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Matrix Exponent of Upper Triangular Matrix
Hi;
Not really, I had reconstruct it entirely from my notes. I did not even remember how before that.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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