The MATLAB command p $=$ symamd$($A$)$

applied to an n$\backslash$times n

matrix A

calculates the symmetric approximate minimum degree permultation of $\{1,...,$n$\}$

$.$ Tick ALL of the following statements that are true:

A$($p$,$p$)$

is a reordering of the rows and the columns of A

$.$

The aim of the reordering is to produce a matrix for which there is less FILL$-$IN when the matrix is factorized.

A$($p$,$p$)$

tends to have a more sparse LU

or Cholesky factor than A

$.$

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NOTE: Related $($not necessarily the same function$)$ Python commands are

p $=$ reverse$\_$cuthill$\_$mckee$($csc$\_$matrix$($A$))$

A$[$p$,$:$][$:$,$p$]$