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Homework Help
Calculus and Beyond Homework Help
Characteristic and Minimal polynomials of matrices
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[QUOTE="jiles-smith, post: 2448421, member: 210583"] [h2]Homework Statement [/h2] Let V=C^4 and consider the linear map V->V given by the matrix: {{12,-6,6,-6},{2,21,21,51},{-3,12,12,30},{1,-9,-9,-21}} (Each {...} denotes a row, tried to use Latex but got extremely confused!) Given that chA(X)=(X-6)^4, calculate: (i) The power such that mA(X)=(X-6)^b (ii) A basis for the generalized eigenspace V[SUB]t[/SUB](6) where t=1,...,b [h2]The Attempt at a Solution[/h2] I attempted to find b by sticking mA(A) into mathematica and seeing if there is a power such that mA(A)=0. This didn't work at all. Any help would be much appreciated. [/QUOTE]
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Calculus and Beyond Homework Help
Characteristic and Minimal polynomials of matrices
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