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Unformatted text preview: matrix M = A B C D is composed of n n blocks A,B,C,D . It is NOT in general the case that det M = det( AD-CB ). (2 points) Find an example when det M 6 = det( AD-CB ) (3 points) Show that if A is nonsingular and AC = CA then the formula holds. 2. (2 points) Show that det 1 1 1 a b c a 2 b 2 c 2 = ( b-a )( c-a )( c-b ). (3 points) Find and show a similar formula for n n matrices. 1...
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This note was uploaded on 10/18/2011 for the course S 2010D taught by Professor Peters during the Spring '10 term at Columbia.
- Spring '10