Pascal matrix
Syntax
A = pascal(n)
A = pascal(n,1)
A = pascal(n,2)
Description
A = pascal(n)
returns the Pascal matrix of order n: a symmetric positive definite matrix with integer entries taken from Pascal's triangle. The inverse of A has integer entries.
A = pascal(n,1)
returns the lower triangular Cholesky factor (up to the signs of the columns) of the Pascal matrix. It is involutary, that is, it is its own inverse.
A = pascal(n,2)
returns a transposed and permuted version of pascal(n,1). A is a cube root of the identity matrix.
Examples
pascal(4) returns
1 1 1 1
1 2 3 4
1 3 6 10
1 4 10 20
A = pascal(3,2) produces
A =
0 0 -1
0 -1 2
-1 -1 1
See Also
chol Cholesky factorization
[ Previous | Help Desk | Next ]