Hp 50g Graphing Calculator Manual do Utilizador descarregar pdf (Página 370)

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The diagonal matrix that results from a Gauss-Jordan elimination is called a

row-reduced echelon form. Function RREF

( Row-Reduced Echelon Form) The

result of this function call is to produce the row-reduced echelon form so that the

matrix of coefficients is reduced to an identity matrix. The extra column in the

augmented matrix will contain the solution to the system of equations.

As an example, we show the result of applying function RREF to matrix AAUG

in ALG mode:

The result is final augmented matrix resulting from a Gauss-Jordan elimination

without pivoting.

A row-reduced echelon form for an augmented matrix can be obtained by

using function

rref. This function produces a list of the pivots and an equivalent

matrix in row-reduced echelon form so that the matrix of coefficients is reduced

to a diagonal matrix.

For example, for matrix AAUG, function rref produces the following result:

The second screen above is obtained by activating the line editor (press ˜).

The result shows pivots of 3, 1, 4, 1, 5, and 2, and a reduced diagonal matrix.

Function SYST2MAT

This function converts a system of linear equations into its augmented matrix

equivalent. The following example is available in the help facility of the

calculator:

1 2 ... 365 366 367 368 369 370 371 372 373 374 375 ... 886 887

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