HP 48gII Graphing Calculator Manual de usuario descargar pdf (Pagina 356)

The process of backward substitution in Gaussian elimination consists in

finding the values of the unknowns, starting from the last equation and

working upwards. Thus, we solve for Z first:

Next, we substitute Z=2 into equation 2 (E2), and solve E2 for Y:

Next, we substitute Z=2 and Y = 1 into E1, and solve E1 for X:

The solution is, therefore, X = -1, Y = 1, Z = 2.

Example of Gaussian elimination using matrices

The system of equations used in the example above can be written as a matrix

equation A⋅x = b, if we use:

To obtain a solution to the system matrix equation using Gaussian elimination,

we first create what is known as the augmented matrix

corresponding to A,

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HP 48gII Graphing Calculator Manual de usuario Pagina 356