
Re: Integrating a Matrix
Posted:
Nov 29, 2013 3:48 AM


I have a 3X3 matrix of functions fij[x], for i,j = 1,2,3, and I want to NIntegrate all nine elements over 0<x<1 to get a matrix of constants. Is there an easy way to do this other that doing 9 individual NIntegration's?
Hi, This is a matrix 3x3:
m = Power[x, RandomInteger[{0, 9}, {3, 3}]]
{{x^4, x^6, x^4}, {x^7, x^8, x^4}, {x^6, x^2, x^4}}
And here is the integration:
mInt = Integrate[m, {x, 0, 1}]
{{1/5, 1/7, 1/5}, {1/8, 1/9, 1/5}, {1/7, 1/3, 1/5}}
You may also want to look at the result in the form of a matrix:
mInt//MatrixForm
Have fun, Alexei
Alexei BOULBITCH, Dr., habil. IEE S.A. ZAE Weiergewan, 11, rue Edmond Reuter, L5326 Contern, LUXEMBOURG
Office phone : +35224542566 Office fax: +35224543566 mobile phone: +49 151 52 40 66 44
email: alexei.boulbitch@iee.lu

