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.TH matrices 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
empty ([]) - empty matrix
.SH DESCRIPTION
\fV [] \fR denotes the empty matrix. It is uniquely defined
and has 0 row and 0 column, i.e. \fV size([]) =[0,0] \fR.
The following convenient conventions are made:
.LP
\fV [] * A = A * [] = [] \fR
.LP
\fV [] + A = A + [] = A \fR
.LP
[ [], A] = [A, []] = A
\fV inv([]) =[] \fR
.LP
\fV det([])=cond([])=rcond([])=1, rank([])=0 \fR
.LP
Matrix functions return \fV[]\fR or an error message
when there is no obvious answer. Empty linear systems
(\fV syslin \fR lists) may have several rows or columns.
.SH EXAMPLE
.nf
s=poly(0,'s'); A = [s, s+1];
A+[], A*[]
A=rand(2,2); AA=A([],1), size(AA)
svd([])
w=ssrand(2,2,2); wr=[]*w; size(wr), w1=ss2tf(wr), size(w1)
.fi
.SH SEE ALSO
matrices, poly, string, boolean, rational, syslin
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