compbasis

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

 array 

 algebra 

Data files and a few functions used in the book
'Linear Models and Regression with R: An Integrated Approach'
by Debasis Sengupta and Sreenivas Rao Jammalamadaka (2019).

Kaushik Jana

lmreg

Data and Functions Used in Linear Models and Regression with R:
An Integrated Approach

Debasis Sengupta

Jinwen Qiu

compbasis function

<dl> <dt>M</dt>
<dd>Matrix for which basis of the orthogonal complement of the column space is needed.</dd><dt>tol</dt>
<dd>A relative tolerance to determine rank through qr decomposition (default = sqrt(.Machine$double.eps)).</dd></dl>

Arguments

Debasis Sengupta &lt;shairiksengupta@gmail.com&gt;, Jinwen Qiu &lt;qjwsnow_ctw@hotmail.com&gt;

Author

Basis of orthogonal complement of column space of a matrix — compbasis

<dl>

 <dt>M</dt>
<dd>Matrix for which basis of the orthogonal complement of the column space is needed.</dd>

<dt>tol</dt>
<dd>A relative tolerance to determine rank through qr decomposition (default = sqrt(.Machine$double.eps)).</dd>

</dl>

compbasis: Basis of orthogonal complement of column space of a matrix

Description

Usage

Value

Arguments

Author

References

Examples