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Math 225 Final Exam 2024 ( question and answers)
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Math 225 Final Exam 2024 ( question and answers) Show that if A2 is the zero matrix, then the only eigenvalue of A is 0. If Ax=λx for some x≠0, then 0x=A2x=A(Ax)=A(λx)=λAx=λ2x=0. Since x is nonzero, λ must be zero. Thus, each eigenvalue of A is zero. Finding the ...
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