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Properties of Determinant

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Using the property of determinants and without expanding,prove that: det[[2,7,653,8,754,9,86]]=0

Using the property of determinants and without expanding, prove that |(2,7,65), (3,8,75), (5,9,86)|=0

Using the property of determinants and without expanding,prove that: det[[0,a,-b-a,0,-cb,c,0]]=0

Using the property of determinants and without expanding,prove that: det[[a-b,b-c,c-ab-c,c-a,a-bc-a,a-b,b-c]]=0

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Which of the following properties can be determined by using Born-Haber cycle ?