- 10 For 42 Recall The Following Properties Of Det 1 A Det Ab Det A Det B 1b Det 1 1 A Let A M R And Let B 1 (27.65 KiB) Viewed 34 times
10 For 42 recall the following properties of det: 1 a. det(AB) = det(A)det(B) 1b. det(1) = 1 A. Let A € M,(R) and let B
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10 For 42 recall the following properties of det: 1 a. det(AB) = det(A)det(B) 1b. det(1) = 1 A. Let A € M,(R) and let B
10 For 42 recall the following properties of det: 1 a. det(AB) = det(A)det(B) 1b. det(1) = 1 A. Let A € M,(R) and let B = P-AP for some PEGL,(R). Show that A and B have the same eigenvalues. B. Let A, B E M,(R) with A E GL,(R). Show that AB and BA have the same eigenvalues. c Let A € M2(R) be a 2 x 2 matrix. If A is non-singular, show that tr(i-1) = tr(4) det(A)
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