File: empty.cat

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matrices(1)                    Scilab Function                    matrices(1)
NAME
  empty ([]) - empty matrix

DESCRIPTION
   []  denotes the empty matrix. It is uniquely defined and has 0 row and 0
  column, i.e.  size([]) =[0,0] .  The following convenient conventions are
  made:

   [] * A = A * [] = []

   [] + A = A + [] = A

  [ [], A] = [A, []] = A
   inv([]) =[]

   det([])=cond([])=rcond([])=1, rank([])=0

  Matrix functions return [] or an error message when there is no obvious
  answer. Empty linear systems ( syslin  lists) may have several rows or
  columns.

EXAMPLE
  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)

SEE ALSO
  matrices, poly, string, boolean, rational, syslin