hw6 Method of determinants

hw6 Method of determinants - Method of determinants for...

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1 PH142_Prob_Set_Posting_01 © Carl E. Patton, Department of Physics, Colorado State University, Meth. of Determinants, 24 February 2008 Page 1 Method of determinants for linear inhomogeneous equation solutions. Consider the solution of 3 linear inhomogeneous equations in 3 unknowns Ax By Cz D E xFy Gz H J xKy Lz M ++= The are known parameters. The are the unknowns. ,,,,,,, ,, ,, ,, ABCDEFGHJKLM xyz One can solve such a set of equations by substitution, but the algebra is messy. The better way is by the method of determinants. © Carl E. Patton, Department of Physics, Colorado State University, Meth. of Determinants, 24 February 2008 Page 2 The bigger topic is called "linear algebra." This is very important. A good course on linear algebra is highly recommended. [Take one that is practical and not all abstract.] © Carl E. Patton, Department of Physics, Colorado State University, Meth. of Determinants, 24 February 2008 Page 3 0 For there to be a nontrivial (e.g., non-zero) solution for , it is required that the determinant of coefficients, namely
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This note was uploaded on 10/28/2008 for the course PH 142 taught by Professor Patton during the Fall '08 term at Colorado State.

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hw6 Method of determinants - Method of determinants for...

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