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  3. show that a 2x2 complex matrix a is nilpotent if a

show that a 2x2 complex matrix A is nilpotent if and only if Tr(A)=0 and Tr(A^2)=0....

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Basic Math

show that a 2x2 complex matrix A is nilpotent if and only ifTr(A)=0 and Tr(A^2)=0. give an example of a complex 2x2 matrixwhich is not nilpotent but whose trace is 0

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In general the trace of a matrix is the sum of the eigenvaluesin the algebraic closure Suppose is an eigenvalue of A and letv0 be such thatAvvSuppose An0 for    See Answer
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