Question: Let A be a diagonalizable n n matrix with eigenvalues 1, 2, . . ., n(including multiplicities). Show that: (a) det A = 12

Let A be a diagonalizable n × n matrix with eigenvalues λ1, λ2, . . ., λn(including multiplicities). Show that:
(a) det A = λ1λ2 . . . λn
(b) trA = λ1 + λ2 + . . . + λn

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