Abstract
A derivation of the total number of multiplications (NOM) required for evaluating a determinant is presented. Four popular numerical methods for solving number of linear equations simultaneously are: (i) Using Cramer’s rule, (ii) Matrix inversion method (iii) Gaussian Elimination method and (iv) Gauss-Jordan Elimination method. We introduce one more method. For all the five methods, relations for the total NOM are derived and compared. It is found that Gaussian Elimination method requires the least NOM. Eliminating a variable in Gaussian Elimination is similar to eliminating a loop in electrical circuit. This is illustrated with an example using source transformation and Thevenin equivalent circuits. However, electrical circuits have certain limitations; therefore, all equations cannot be handled.
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