Matrix functions, continued – HP 38g Graphing Calculator User Manual
Page 141
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Matrix Functions, continued
LQ
LQ Factorization. Factors mxn
matrix
into three matrices:
{ [ [
mXn
lowertrapezoidal]
] , [ [ nxn
orthogonal]
]
,
[ [ mxm
permutation
] ]}
.
hQ [matrix)
LSQ
Least Squares. Displays the minimum norm least squares matrix
(or vector).
hSQ [matrix!, matrix2)
LU
LU Decomposition. Factors a square
matrix
into three matrices:
{[
[lowertriangular]
]
,
[
[uppertriangular]
]
,
[
[permutation]
]}
The
uppertriangular
has ones on its diagonal.
LU
[matrix]
MAKEMAT
Make Matrix. Creates a matrix of dimension
rows
x
columns,
using
expression
to calculate each element. If
expression
contains the variables I and J, then the calculation for each
element substitutes the current row number for I and the current
column number for J.
y¡AKEMAT(expression, rows, columns')
Example:
MAKEMAT ( 0 , 3 , 3 )
returns a 3x3 zero matrix,
[[0,0,0], [0,0,0], [0,0,0]].
QR
QR Factorization. Factors an
mXn matrix
into three matrices:
{ [
[ m X m orthogonal]
]
, [ { m X n uppertrapezoidal]
]
,
[ [ n x n
permutation]
] ).
QR [matrix)
RANK
Rank (an integer) of a rectangular
matrix.
RANK
(mate)
ROWNORM
Row Norm. Finds the maximum value (over all rows) of the sums
of the absolute values of all elements in a row.
ROWNORM (mate)
RREF
Reduced Row-Echelon. Changes a rectangular
matrix
to its
reduced row-echelon form.
RREF
[matrix)
Using Matrices 6-11