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Question: Using MatrixPower in a sum command

Question:Using MatrixPower in a sum command

Jamesrene 10 Maple 16
matrix linearalgebra real summation
May 28 2012
2

I'm very new to Maple and I'm just curious as to how Maple computes its summations with the MatrixPower command.

if A = a real square matrix

c = some real constant

x = c*A

then Why is it, that when I try to use...

sum(MatrixPower(x,k), k = 0..3);

I get a non-real / ridiculous result, but when I type it out...

MatrixPower(x,0) + MatrixPower(x,1) + MatrixPower(x,2) + MatrixPower(x,3);

x^0 + x^1 + x^2 + x^3;

1 + x + x.x + x.x.x;

I get real results.

(I'm using with(LinearAlgebra): library)
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