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Unformatted text preview: n matrix over R . Let A i;j be the .n ± 1/ –by– .n ± 1/ matrix obtained by deleting the i –th row and the j –column of A . The de-terminant det .A i;j / is called the .i;j/ minor of A , and . ± 1/ i C j det .A i;j / is called the .i;j/ cofactor of A . The matrix whose .i;j/ entry is . ± 1/ i C j det .A i;j / is called the cofactor matrix of A . The transpose of the cofactor matrix is sometimes called the adjoint matrix of A , but this terminology should be avoided as the word adjoint has other incompatible meanings in linear algebra. The following is called the cofactor expansion of the determinant....
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This note was uploaded on 12/15/2011 for the course MAC 1105 taught by Professor Everage during the Fall '08 term at FSU.
- Fall '08