HP 48g Graphing Calculator - Manual (Page 173)

Commands for Characterizing Matrices (continued)
Key Programmable
Command
Description
S R R D SRAD Command. Returns the spectral radius
of a square matrix. The spectral radius
is the absolute value of the largest
eigenvalue of the matrix.
C 0 hi D COND Command. Returns the column-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 column norm of
its inverse.
R fl H K RANK Command. Returns an estimate of the
rank of a matrix. The rank of a matrix
is equal to the number of nonzero
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 counts all nonzero singular
values no matter their size.
DET DET Command. Returns the determinant of
a square matrix. DET checks flag —54,
and will refine its computed value only
if —54 is clear (default).
1 k r-i i . 1- TRACE Command. Returns the trace of a
square matrix. The trace of a matrix is
equal to the sum of the diagonal
elements and also equal to the sum of
the eigenvalues of the matrix.
14
Matrices and Linear Algebra 14-9