Keys (continued) description r (iwrices), R (matrices), 0 (matrices) – HP 49g Graphing Calculator User Manual

Page 56: 0 cmatrices)

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Keys (Continued)

Description

R (iWRICES)

OPERATIONS SRAD

Returns the spectral radius of a square
matrix. The spectral radius is the
absolute value of the largest eigenvalue
of the matrix.

R (MATRICES)

OPERATIONS OOND

Retimis the cohmm-norm condition

number of a square matrix. The

condition number is defined to be the

product of the column norm of a square

matrix and the colunui norm of its
inverse.

0 (MATRICES)

OPERATIONS RANK

Returns an estimate of the rank of a

matrix. The rank of a matrix is equal to
the luunber of non-zero singular values

of the matrix. If flag -54 is clear
(default), RANK treats any computed

singular value less than 10“^'* times the
size of the largest computed singular

value as zero. If flag -54 is set, RANK

comits all non-zero singular values no

matter what their size.

0 CMATRICES)

OPERATIONS DET

Returns the determinant of a square
matrix. DET checks flag -54, and will
refine its computed value only if -54 is
clear (default).

0 (MATRICES)

OPERATIONS TRACE

Returns the trace of a square matrix.

The trace of a matrix is equal to the
smn of the diagonal elements and also

equal to the sum of the eigenvalues of

the matrix.

Matrices and linear algebra

Page 5-15

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