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Unformatted text preview: A t . For a square matrix, the main diagonal remains the same. The offdiagonal elements are moved to the other side of the diagonal. If A = A t , then A is a symmetric matrix. Determinant of a matrix Deteminants are defined for square matrices. The determinant of a square matrix of order nxn is a function that assigns a scalar value to each possible nxn matrix. If A = (a ij ) nxn , then A or det(A) denotes the determinant of A. If A = 0, then A is a singular matrix. Laplace Expansion Each element of A, (a ij ), has a minor M ij given by the determinant of the submatrix obtained by removing row i and column j of A. C ij , Cofactor of a ij = (1) i+j M ij . The matrix of cofactors C=(C ij ) is the adjoint of A. Examples det(A) = det(A t )...
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This note was uploaded on 03/21/2012 for the course CS 3333 taught by Professor Boppana during the Fall '11 term at The University of Texas at San Antonio San Antonio.
 Fall '11
 Boppana

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