HP 49g Graphing Calculator - Manual (Page 55)

Matrix calculations are often sensitive to special characteristics of the
matrices used. The HP 49G has a number of commands that return
characteristics of matrices. Note that some commands are only defined
for square matrices, some for any rectangular matrix.
Commands For characterizing matrices
Characterizing matrices
Keys Description
R
(MATRICES)
OPERATIONS SIZE Returns the dimensions of the array
(that is, the niunber of rows and
number of colimms).
R
(WiCB)
OPERATIONS ABS Returns the Frobenius norm of a matrix
and the Euclidean length of a vector:
the square root of the sums of the
squares of the absolute values of the
elements.
0 (MAil0 OPERATIONS SNRM Returns the spectral nonn of a matrix.
The spectral nonn of a matrix is equal
to the largest singular value of the
matrix. Same as ABS for a vector.
R
(MATRICES)
OPERATIONS RNRM Returns the row norm of a matrix. The
row nonn of a matrix is the maximum
value (over all rows) of the siuns of the
absolute values of all elements in a row.
The row norm of a vector is the
maximiun absolute value of its
elements.
R
(MATRICES)
OPERATIONS CNRM Returns the colunm nonn of a matrix.
The colunm nonn of a matrix is the
maximum value (over all columns) of
the suiTO of the absolute values of all
elements in a column. The colunm
nonn of a vector is the sum of the
absolute values of its elements.
Page 5-14 Matrices and linear algebra