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Next: <a href="maxima_96.html#Vectors" accesskey="n" rel="next">Vectors</a>, Previous: <a href="maxima_94.html#Dot" accesskey="p" rel="previous">Dot</a>, Up: <a href="maxima_93.html#Introduction-to-Matrices-and-Linear-Algebra" accesskey="u" rel="up">Introduction to Matrices and Linear Algebra</a> [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_264.html#g_t_0423_043a_0430_0437_0430_0442_0435_043b_044c-_0444_0443_043d_043a_0446_0438_0439-_0438-_043f_0435_0440_0435_043c_0435_043d_043d_044b_0445" title="Index" rel="index">Index</a>]</p>
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<a name="Matrices-1"></a>
<h4 class="subsection">23.1.2 Matrices</h4>
<p>Matrices are handled with speed and memory-efficiency in mind. This means that
assigning a matrix to a variable will create a reference to, not a copy of the
matrix. If the matrix is modified all references to the matrix point to the
modified object (See <code><a href="maxima_98.html#copymatrix">copymatrix</a></code> for a way of avoiding this):
</p><div class="example">
<pre class="example">(%i1) M1: matrix([0,0],[0,0]);
[ 0 0 ]
(%o1) [ ]
[ 0 0 ]
</pre><pre class="example">(%i2) M2: M1;
[ 0 0 ]
(%o2) [ ]
[ 0 0 ]
</pre><pre class="example">(%i3) M1[1][1]: 2;
(%o3) 2
</pre><pre class="example">(%i4) M2;
[ 2 0 ]
(%o4) [ ]
[ 0 0 ]
</pre></div>
<p>Converting a matrix to nested lists and vice versa works the following way:
</p><div class="example">
<pre class="example">(%i1) l: [[1,2],[3,4]];
(%o1) [[1, 2], [3, 4]]
</pre><pre class="example">(%i2) M1: apply('matrix,l);
[ 1 2 ]
(%o2) [ ]
[ 3 4 ]
</pre><pre class="example">(%i3) M2: transpose(M1);
[ 1 3 ]
(%o3) [ ]
[ 2 4 ]
</pre><pre class="example">(%i4) args(M2);
(%o4) [[1, 3], [2, 4]]
</pre></div>
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