Re: Integrating a Matrix
- To: mathgroup at smc.vnet.net
- Subject: [mg132066] Re: Integrating a Matrix
- From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
- Date: Fri, 29 Nov 2013 03:49:14 -0500 (EST)
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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.
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