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. ZAE Weiergewan, 11, rue Edmond Reuter, L-5326 Contern, LUXEMBOURG Office phone : +352-2454-2566 Office fax: +352-2454-3566 mobile phone: +49 151 52 40 66 44 e-mail: alexei.boulbitch at iee.lu