Question: Let A and B be 2 Ã 2 matrices and let (a) Show that det(A + B) = det(A) + det(B) + det(C) + det(D).

Let A and B be 2 × 2 matrices and let
Let A and B be 2 × 2 matrices and

(a) Show that det(A + B) = det(A) + det(B) + det(C) + det(D).
(b) Show that if B = EA then det(A + B) = det(A) + det(B).

D-I 12 a21 a22

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