Unformatted text preview: matrix M = ± A B C D ² is composed of n × n blocks A,B,C,D . It is NOT in general the case that det M = det( ADCB ). (2 points) Find an example when det M 6 = det( ADCB ) (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 = ( ba )( ca )( cb ). (3 points) Find and show a similar formula for n × n matrices. 1...
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 Spring '10
 Peters
 Linear Algebra, Determinant, Vector Space, Invertible matrix

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