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A Continuation of the Discussion
Characteristic Equations Similarity Transformations
The Characteristic Equation Similarity Transformations Orthogonal Similarity
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activity analysis answer artificial variables augmented matrix basic feasible solution basic variables characteristic roots characteristic vectors coefficient matrix cofactor expansion column player column vectors defined determinant Discussion dual elementary operations elementary row operations enter the basis entries equal equilibrium EXAMPLE final demands gross outputs hypothesis identity matrix independent equations indicates industry inequalities infeasibility form input-output inverse iterations Leontief matrix linear equations linear programming problem main diagonal matrix of order maximization multiplication negative definite nonbasic variables nonsingular nonzero notation number of independent number of variables objective function obtain optimal solution orthogonal similarity payoff matrix pivot positive definite possible primal primary inputs quadratic form relations result row h row player row vector rows and columns scalar slack variables solution values square matrix strategy submatrix surplus variables symmetric matrix tableau theorem transformed transpose type three unit XTAX zero