HP 48g Graphing Calculator - Manual (Page 172)

Commands for Characterizing Matrices
Key Prograrnmable
Command
Description
fMTHl lift i K h' H !■■■. b. ;
S I Z E SIZE Command. Returns the dimensions of
the array on level 1 of the stack.
( M T H l P l F 1 k H u R M :
h b s
ABS Prefix. 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.
SRNM Command. Returns the spectral norm
of an array. The spectral norm of a
matrix is equal to the largest singular
value of the matrix. Same as ABS for a
vector.
R I n i ' ^ ! M RNRM Command. Returns the row norm of an
array. The row norm of a matrix is the
maximum value (over all rows) of the
sums of the absolute values of all
elements in a row. The row norm of a
vector is the maximum absolute value of
its elements.
C H R M CNRM Command. Returns the column norm of
an array. The column norm of a matrix
is the maximum value (over all
columns) of the sums of the absolute
values of all elements in a column. The
column norm of a vector is the sum of
the absolute values of its elements.
14
14-8 Matrices and Linear Algebra