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<h4 class="subsection">20.3.1 Diagonal Matrix Functions</h4>
<p><dfn>inv</dfn> and <dfn>pinv</dfn> can be applied to a diagonal matrix, yielding again
a diagonal matrix. <dfn>det</dfn> will use an efficient straightforward calculation
when given a diagonal matrix, as well as <dfn>cond</dfn>.
The following mapper functions can be applied to a diagonal matrix
without converting it to a full one:
<dfn>abs</dfn>, <dfn>real</dfn>, <dfn>imag</dfn>, <dfn>conj</dfn>, <dfn>sqrt</dfn>.
A diagonal matrix can also be returned from the <dfn>balance</dfn>
and <dfn>svd</dfn> functions.
The <dfn>sparse</dfn> function will convert a diagonal matrix efficiently to a
sparse matrix.
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