For what values of p, these equations have non-trivial solution. How to solve this question. And also tell me what is meant by non-trivial solution
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These can all be written in the form which obviously has the solution x= y= z= 0. That is the "trivial" solution. If the coefficient matrix has determinant 0 (is not invertible) then there will also exist other "non-trivial" solutions.
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