basis {lmreg}

Basis of column space of a matrix

Description

Computes an orthonormal basis of the column space of a given matrix.

Usage

basis(M, tol=sqrt(.Machine$double.eps))

Arguments

M

Matrix for which basis of the column space is needed.

tol

A relative tolerance to determine rank through qr decomposition
(default = sqrt(.Machine$double.eps)).

Value

Returns a semi-orthogonal matrix with columns forming an orthonormal basis of the column space of M.

Author(s)

Debasis Sengupta <[e-mail]>, Jinwen Qiu <[e-mail]>

References

Sengupta and Jammalamadaka (2019), Linear Models and Regression with R: An Integrated Approach.

Examples

  basis(matrix(c(2,1,3,4,2,3,2,6,4,2,6,8),4,3))