Hp 48g Graphing Calculator Bedienungsanleitung PDF herunterladen (Seite 184)

100

101

To compute the row-reduced echelon form of a matrix:

Enter the matrix onto the stack. If you are attempting to solve a

system of linear equations, the matrix should be the augmented

matrix representation of the system (see discussion above).

Optional: Set flag —54 if you do not want “tiny” elements replaced

with zero during the computation: Press MODES) FLFiG 54

m SF . “Tiny” elements, which can be generated due to

roundoff errors during computation, are those elements that are less

than 1 x times the size of the largest element in their column.

Unless you set flag —54, the HP 48 replaces any “tiny” elements

with zero.

Press f'MTH ) M H T R F fi C T R R REF .

Additional Linear Algebra Topics

The HP 48 offers a selection of other linear algebra commands that

give you additional problem-solving power and flexibility.

Eigenvalues and Eigenvectors

A square (n x n) matrix A is said to have an eigenvalue X and a

corresponding eigenvector x if Ax = Ax.

Eigenvalues are the roots of the characteristic equation,

det(A — AI) = 0, which is a polynomial of degree n. Thus, A has n

eigenvalues, although they are not always distinct. Each eigenvalue

has a corresponding eigenvector.

The HP 48 allows you to compute either the eigenvalues only (a

faster computation) or both the eigenvalues and their corresponding

eigenvectors.

To compute the eigenvalues for a square matrix:

1. Enter the square (n x n) matrix onto the stack.

2. Press fivrfHl

eigenvalues.

Mfl'l R fNXT) EGVL to compute a vector of n

14-20 Matrices and Linear Aigebra

1 2 ... 179 180 181 182 183 184 185 186 187 188 189 ... 611 612

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