Substitution Matrix

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  We could have made the coefficient part of the echelon matrix to a diagonal matrix. But for the method of backward substitution, the reached matrix is the correct form.

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  Note that the formula works for 2 x 2 matrix as well. Let us consider an example of 4 x 4 matrix A.

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  Then we can use backwards substitution to get the values of the variables.

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  We know how to solve this using backwards substitution (U is an upper triangular matrix). The same is true for the inverse of L, only here we use forward substitution procedure, since L is a lower triangular matrix.

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  Systems of Equations Computer Applications and Substitution vs. Elimination vs Matrix Methods are investigated.

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  So the determinant of the 4 by 4 matrix is A_11-A_21+A_31-A_41. Please see attachment for more information. The method of substitution is contrasted with the method of addition (or elimination).

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  333442 Solve the equations for the different bicycle models that can be made daily, with any of the techniques - graphing, substitution, elimination, and matrix.

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