  p+q+r ,where p ,q ,r`are distinct and also `x!=1.`" title="Prove that `p x^(q-r)+q x^(r-p)+r x^(p-q)> p+q+r ,where ns ,q ,r`are distinct and `x!=1.`" style="width:100%;height:;"/> p+q+r ,w h e r ep ,q ,r`are distinct and`x!=1.`" title="Prove that `p x^(q-r)+q x^(r-p)+r x^(p-q)> p+q+r ,w h e r ep ,q ,r`are unique and`x!=1.`" style="width:100%;height:;"/> Let A be a square matrix of stimulate n; climate the sum of the product of aspects of any type of row (column) through their cofactors is constantly equal to `|A|`

Let A be a square matrix of bespeak n; then the sum of the product of elements of any type of row (column) v the cofactors the the corresponding elements of some various other row (column) is 0.

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=2` and also let B it is in a matrix obtained from A by interchanging any two rows (columns) that A climate `|B|=-|A|`" href="/question-answer/let-aaij-be-a-square-matrix-of-order-n-ge-2-and-let-b-be-a-matrix-obtained-from-a-by-interchanging-a-1340071" data-reactid="695">

Let `A=` it is in a square matrix of stimulate `n>=2` and let B be a matrix derived from A by interchanging any two rows (columns) that A then `|B|=-|A|`

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