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Both MATLAB and GNU Octave natively support [[linear algebra]] operations such as matrix multiplication, [[matrix inversion]], and the numerical solution of [[system of linear equations]], even using the [[Moore–Penrose pseudoinverse]].<ref>{{cite web |title= GNU Octave Manual. Arithmetic Operators. |url= https://www.gnu.org/software/octave/doc/interpreter/Arithmetic-Ops.html |access-date= 2011-03-19}}</ref><ref>{{cite web |title= MATLAB documentation. Arithmetic Operators. |url= http://www.mathworks.com/help/techdoc/ref/arithmeticoperators.html |access-date= 2011-03-19 |archive-date= 2010-09-07 |archive-url= https://web.archive.org/web/20100907074906/http://www.mathworks.com/help/techdoc/ref/arithmeticoperators.html |url-status= dead }}</ref>
The [[Nial]] example of the inner product of two arrays can be implemented using the native matrix multiplication operator. If <code>a</code> is a row vector of size [1 n] and <code>b</code> is a corresponding column vector of size [n 1].
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