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My Question is:

$Let A=\begin{pmatrix} 0&−1& 0& 1& 0& 0\\ −1& 1& 0 &−1& 0& 0 \\ 0&0 &0 &0& 1& 0\\ 0 &1 &−1& 0 &0 &0\\ 0& 0& −1& 0& −1& 1\\ 0 &0 &0 &−1 &1 &0 \\ \end{pmatrix}$

By using Matlab, find the smallest $p ∈ \mathbb{N}$ such that $A^p$ has no zero entries.

I know I can use trial and error to eventually get to my answer, but is their a script that could get to my answer easier. Any help will be appreciated.

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    If the requirement is "using matlab", then how is this a math problem? – 2017-01-22
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    How do you know there is such a power? – 2017-01-22
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    Well there are question on this website dedicated to Matlab so I have no reason not to post this. @mathguy – 2017-01-22
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    We have been told there is a power but we just need to find it. @DonAntonio – 2017-01-22
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    @OPFragster You have a point, yet I think chances are you'll get more help in the other section...I honestly don't understand how come that tag exists here, in the mathematics section... – 2017-01-22
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    Without knowing matlab: Can you compute the product of the elements of $A^p$? Then you need $\min \{p \mid \text{that product is not } 0\}$. – 2017-01-22
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    Im also confused as to why that tags here but its worth a go anyway @DonAntonio – 2017-01-22

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