(
c
The
fll
Function: Matrix Inverse,
Matrix
Divide
CD
CD
The
ffi
symbol
is
formed
by
overstriking
the
0 and
the
f symbols.
Monadic (One-Argument) Form: Matrix Inverse
iii
The matrix inverse function inverts a nonsingular matrix
or
computes
the
pseudo-
inverse
of
a recta,ngular matrix.
The
result
is
a matrix. Argument a
must
be a
numeric matrix, and
the
number
of
columns must not exceed
the
number
of
rows.
The
number
of
columns
in
the
argument
is
the
number
of
rows in
the
result, and
vice versa.
If
argument a
is
a nonsingular matrix,
rna
is
the
inverse
of
a.
If
the
matrix does
not
have an inverse,
then
DOMAIN ERROR results:
Af-2
2(.):1.
:3
~:5
'('
A
1 3
EIA
OMO
•
B7~j
o .
:3'7~~
0.625
-0.125
:l
2
:3
6
Af-2
2(.):1.
2
:3
6
A
I~IA
DOMAIN
EI~ROR
~~Ij~
A
If
argument a
is
a rectangular matrix,
rnB
is
the
pseudoinverse
of
the
matrix (least
squares solution):
3 5
:1.
2
2
I.J.
Af-3
2p3
5
:I.
2 2
~
(4
EtA
Dyadic (Two-Argument) Form: Matrix Divide AlliB
-'")
.:..
1
I")
.
.:..
The matrix divide function solves
one
or
more sets
of
linear
equations
with co-
efficient matrices. Argument
a must be a numeric matrix.
The
number
of
columns
in
a must
not
exceed
the
number
of
rows. Argument A must be a numeric vector
or
a matrix. The length
of
the
first coordinate
of
argument A
must
equal
the
length
of
the
first coordinate
of
argument
B.
105
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