Let T be1 a linear e)perate>r on a finite-eliniensional vector space V, where V is a

Chapter 6, Problem 15

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Let T be1 a linear e)perate>r on a finite-eliniensional vector space V, where V is a diroct sum of T-invariant subspae-e;s, say, V = W] W2 0- -cOW/,.. Prove that det(T) = elet(TW|) ele>t(Tw,,) ele>t(TwJ.

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