Solve |(4-x,4+x,4+x),(4+x,4-x,4+x),(4+x,...

Solve `|(4-x,4+x,4+x),(4+x,4-x,4+x),(4+x,4+x,4-x)|=0`

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SURA PUBLICATION-MATRICES AND DETERMINANTS -EXERCISE 7.3

Solve the following problems by using Factor Theorem : Show that |(...
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Show that |(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=8abc
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Solve |(x+a,b,c),(a,x+b,c),(a,b,x+c)|=0
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Solve |(4-x,4+x,4+x),(4+x,4-x,4+x),(4+x,4+x,4-x)|=0
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Show that |(1,1,1),(x,y,z),(x^(2),y^(2),z^(2))|=(x-y)(y-z)(z-x)
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