pascal

Purpose

Pascal matrix.

Synopsis

X = pascal(n)
X = pascal(n,1)
X = pascal(n,2)

Description

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.

Examples

(pascal(3,2))^3
          
ans =
    1    0    0
    0    1    0
    0    0    1

See Also

chol

(c) Copyright 1994 by The MathWorks, Inc.