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Unformatted text preview: same result in each case. 5. (Boas 3.3.7) Use the seven rules for determinants enumerated in Chows book to show that D := 1 a bc 1 b ac 1 c ab = 1 a a 2 1 b b 2 1 c c 2 = ( c-a )( b-a )( c-b ) 1 a a 2 0 1 b + a 0 0 1 = ( c-a )( b-a )( c-b ) . Do not simply evaluate the determinants in this problem. The point is to practice using the rules while establishing each equality above. 6. (Boas 3.3.10) A square matrix A is called skew-symmetric if its components obey A ij =-A ji . Show that the determinant of a skew-symetric matrix of odd order must vanish....
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This note was uploaded on 10/21/2011 for the course PHZ 3113 taught by Professor Staff during the Fall '10 term at FAU.
- Fall '10