matlab (version 1.0.2)

pascal: 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

Value

Returns matrix of order n according to specified option k.

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.

Examples

pascal(4)
pascal(3, 2)