120
MAT
matrix-name
[(rows
,columns) ] = matrix-name * matrix-name
MAT ASSIGNMENT (MATRIX MULTIPLICATION)
This statement allows you
to
perform the mathematical matrix multiplication
of
two
numeric matrices
and
assign
the product
to
a
third
matrix. The syntax
of
this state-
ment
is
as
shown:
MAT
matrix-name
[(rows
,columns)] = matrix-name * matrix-name
where:
all parameters in the statement
are
the
same
as
those
for other
MAT
assignment
statements.
In matrix multiplication, a matrix (A)
of
dimensions (p,m)
and
a matrix (B)
of
dim-
ensions
(m,n) yield a product matrix
(C)
of
dimensions (p,n)
such
that
for
i = 1,2, ... ,p
and
for
j = 1,2 ... ,n:
m
CO,j) = L
k=1
AO,k)* B(k,j)
If
redimension specifications
follow
the matrix
name
to
the left
of
the equal
sign,
the
truncated integer portion
of
each
expression
value
in rows, columns
is
used
to
redi-
mension the matrix before
values
are
assigned
to
it.
Notes
About
MAT
(Matrix Multiplication)
•
All
three matrices specified must
be
numeric.
•
If
the matrix specified
to
the left
of
the equal
sign
is
the
same
as
either matrix
to
the right
of
the equal sign, you will
get
incorrect results.
•
All
of
the following relationships must
be
true (after redimensioning,
if
any) where:
A=
B*C
1.
All
three matrices must
be
two-dimensional.
2.
The number
of
columns in the
second
matrix
(B)
mustbe equal
to
the
number
of
rows in the third matrix (C).
3.
The number
of
rows in the first matrix (product matrix A) must
equal
the
number
of
rows in the
second
matrix (B).
4.
The number
of
columns in the first (product matrix A) must equal the
number
of
columns in the
third
matrix (C).
•
If
redimension specifications
are
included, the rules described under Redimen-
sioning Arrays,
Chapter 3, must
be
followed.
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