box% octave
GNU Octave, version 5.2.0
Copyright (C) 2020 John W. Eaton and others.
This is free software; see the source code for copying conditions.
There is ABSOLUTELY NO WARRANTY; not even for MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  For details, type 'warranty'.

Octave was configured for "x86_64-pc-linux-gnu".

Additional information about Octave is available at https://www.octave.org.

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Read https://www.octave.org/bugs.html to learn how to submit bug reports.
For information about changes from previous versions, type 'news'.

warning: function ./pathdef.m shadows a core library function
octave:1> A = [0 1; 8 2]
A =

   0   1
   8   2

octave:2> u = [1 0]; v = [4; 10];
octave:3> u * A^0 * v
ans =  4
octave:4> u * A^1 * v
ans =  10
octave:5> u * A^2 * v
ans =  52
octave:6> u * A^3 * v
ans =  184
octave:7>