Question 1105210
A=     {{{a 1 1 1 1}}}
         {{{1 a 1 1 1}}}
         {{{1 1 a 1 1}}}
         {{{1 1 1 a 1}}}
         {{{1 1 1 1 a}}} 


(1)calculate det A ? 
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I used an online calculator and found that when I subbed values from 0 to 9 for a, the Det = 968.  The calculator would not accept literal values.
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(2)for which value of  a will Ax=0 have nonzero solutions? 
(3)when ax =a has nonzero solution how many arbitrary constants are there in the general solution?