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Unformatted text preview: An equivalent statement for the theorem is that n j =1 a ij C kj = 0 for all i = k, (0.1) and n j =1 a ij C kj = det ( A ) for all i = k. (0.2) The latter is just the cofactor expansion for A along the i-th row. Give support for (0.1): For xed given i = k , exhibit a matrix B having two equal rows (or columns, thus det ( B ) = 0 is seen easily ) such that n j =1 a ij C kj (0.3) can be recognized as a cofactor expansion of B ....
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This note was uploaded on 05/23/2010 for the course MATH 235 taught by Professor Celmin during the Winter '08 term at Waterloo.
- Winter '08