X = pascal(n)
X = pascal(n,1)
X = pascal(n,2)
X = pascal(n)
returns the Pascal matrix of order n
. X
is a symmetric, positive, definite matrix with integer entries made up from Pascal's triangle. The inverse of X
has integer entries.
X = pascal(n,1)
is the lower triangular Cholesky factor (up to the signs of the columns) of the Pascal matrix. It is involuntary, that is, it is its own inverse.
X = pascal(n,2)
is a transposed and permuted version of pascal(n,1)
. X
is a cube root of the identity matrix.
(pascal(3,2))^3
ans =
1 0 0
0 1 0
0 0 1
chol
(c) Copyright 1994 by The MathWorks, Inc.