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Without expanding at any stage, prove th...

Without expanding at any stage, prove that the value of each of the following determinants is zero. (1)` |[0,p-q,p-r],[q-p,0,q-r],[r-p,r-q,0]|` (2)`|[41,1,5],[79,7,9],[29,5,3]|` (3)`|[1,w,w^2],[w,w^2,1],[w^2,1,w]|` , where w is cube root of unity

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