Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**mowgli****Member**- Registered: 2013-07-15
- Posts: 3

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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,824

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**mowgli****Member**- Registered: 2013-07-15
- Posts: 3

How do you go from the final matrix shown to a matrix of exponential functions?

Getting bamboozled by Maths since 1987

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,824

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**mowgli****Member**- Registered: 2013-07-15
- Posts: 3

Thanks a lot, you are the best.

:D:D:D:D:D:D:D:D:D

Getting bamboozled by Maths since 1987

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,824

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

Pages: **1**