HP 48gII Graphing Calculator Instrukcja Użytkownika Pobierz pdf (Strona 358)

If you were performing these operations by hand, you would write the

The symbol ≅ (“ is equivalent to”) indicates that what follows is equivalent to

the previous matrix with some row (or column) operations involved.

The resulting matrix is upper-triangular, and equivalent to the set of equations

X +2Y+3Z = 7,

which can now be solved, one equation at a time, by backward substitution,

as in the previous example.

Gauss-Jordan elimination using matrices

Gauss-Jordan elimination consists in continuing the row operations in the

upper-triangular matrix resulting from the forward elimination process until an

identity matrix results in place of the original A matrix. For example, for the

case we just presented, we can continue the row operations as follows:

Multiply row 3 by –1/7: 7\Y 3 @RCI!

Multiply row 3 by –1, add it to row 2, replacing it: 1\ # 3

HP 48gII Graphing Calculator Instrukcja Użytkownika Strona 358