?? null.html
字號:
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html><head><title>R: Null Spaces of Matrices</title>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<link rel="stylesheet" type="text/css" href="../../R.css">
</head><body>
<table width="100%" summary="page for Null {MASS}"><tr><td>Null {MASS}</td><td align="right">R Documentation</td></tr></table>
<h2>Null Spaces of Matrices</h2>
<h3>Description</h3>
<p>
Given a matrix, <code>M</code>, find a matrix <code>N</code> giving a basis for the
null space. That is <code>t(N) %*% M</code>
is the zero and <code>N</code> has the maximum number of linearly
independent columns.
</p>
<h3>Usage</h3>
<pre>
Null(M)
</pre>
<h3>Arguments</h3>
<table summary="R argblock">
<tr valign="top"><td><code>M</code></td>
<td>
Input matrix. A vector is coerced to a 1-column matrix.
</td></tr>
</table>
<h3>Value</h3>
<p>
The matrix <code>N</code> with the basis for the null space, or an empty
vector if the matrix <code>M</code> is square and of maximal rank.</p>
<h3>References</h3>
<p>
Venables, W. N. and Ripley, B. D. (2002)
<EM>Modern Applied Statistics with S.</EM> Fourth edition. Springer.
</p>
<h3>See Also</h3>
<p>
<code><a href="../../Matrix/html/qr-methods.html">qr</a></code>, <code><a href="../../base/html/qraux.html">qr.Q</a></code>
</p>
<h3>Examples</h3>
<pre>
# The function is currently defined as
function(M)
{
tmp <- qr(M)
set <- if(tmp$rank == 0) 1:ncol(M) else - (1:tmp$rank)
qr.Q(tmp, complete = TRUE)[, set, drop = FALSE]
}
</pre>
<hr><div align="center">[Package <em>MASS</em> version 7.2-44 <a href="00Index.html">Index]</a></div>
</body></html>
?? 快捷鍵說明
復制代碼
Ctrl + C
搜索代碼
Ctrl + F
全屏模式
F11
切換主題
Ctrl + Shift + D
顯示快捷鍵
?
增大字號
Ctrl + =
減小字號
Ctrl + -