Exponential of a matrix

Hello

I am trying to find a way to calculate the exponential matrix on the 50 g.

Given A [[3 0 0.0 2 1.0 0 2]]

Result (exp(t*A)): [[exp3t exp2t 0.0 0 t * exp2t, 0 exp2t 0]]

What I've tried so far:

DIAGMAP (http://goo.gl/12ZruS) -> diagonalizable matrix not

EXPAT off Expastic (http://www.hpcalc.org/details.php?id=4641) -> gives something strange in the way of the Delta (X) / VX-3, where the exp3t must be placed

Any tips on that?

Concerning

Sorry for my bad English...

Given A = [[3 0 0.0 2 1.0 0 2]]

Let A = B + C with:

B = [[3 0 2 0.0 0.0 0 2]] where B is diagonalizable
C = [[0 0 0 0.0 1.0 0 0]] where C is "nilpotent" (English word)?   like C² = 0
And we know that the exponential of a nilpotent matrix (C² = 0) is: e ^ C = I + C (general case is for C ^ k = 0 is e ^ C = I + C + C²/2! + C ^ 3/3! +...) C ^(k-1) /(k-1)!

The form e ^ A = e ^(B+C) = e ^ B.e ^ C

We can do:

[[3 0 0,0 0,0 2 2 0]] STO 'B '.
[[0 0 0 0.0 1.0 0 0]] 'C' STO

B 't' * 'Exp (x)"DIAGMAP
C C IDN 't' * +.
*
SIMPLIFY

If you often have this type of matrix (with a diagonal and another element), you wrote a small program to automate this...

Tags: HP Tablets

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