Linear Algebra For 10 – 12 recall the following properties of det: a. det(AB) = det(A)det(B) b. det(1) = 1 . 10. Let
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For 10 – 12 recall the following properties of det: a. det(AB) = det(A)det(B) b. det(1) = 1 .
10. Let A € Mn(R) and let B=P-AP for some P E GLn(R). Show that A and B have the same eigenvalues.