MATLAB pascal function

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Description

Generate Pascal matrix.

Usage

1
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 proebuck@mdanderson.org

Examples

1
2
pascal(4)
pascal(3, 2)

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