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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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