pascal {matlab}

MATLAB pascal function

Description

Generate Pascal matrix.

Usage

pascal(n, k=0)

Arguments

n

numeric scalar specifying order

k

numeric scalar specifying desired option. Valid values are 0, 1, or 2

Details

Specifying k=0 returns symmetric positive definite matrix with integer entries taken from Pascal's triangle.

Specifying k=1 returns the lower triangular Cholesky factor (up to the signs of the columns) of the Pascal matrix.

Specifying k=2 returns a cube root of the identity matrix.

Value

Returns matrix of order n according to specified option k.

Author(s)

P. Roebuck [e-mail]

Examples

pascal(4)
pascal(3, 2)