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(x)|[4,a,b+c],[4,b,c+a],[4,c,a+b]|...

(x)|[4,a,b+c],[4,b,c+a],[4,c,a+b]|

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What is the value of the following determinant? Delta=|[4,a, b+c],[4,b, c+a],[4,c, a+b]|

What is the value of the following determinant? Delta=|[4,a, b+c],[4,b, c+a],[4,c, a+b]|

What is the value of : |[4,a,b+c ],[4,b,c+a],[4,c,a+b]|

Without expanding show that the following determinants vanish |(4,a,b+c),(4,b,c+a),(4,c,a+b)|

Prove: |[b+c,a,a],[b,c+a,b],[c,c,a+b]|=4a b c

|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4abc

Let a, b, c be the positive integers such that |[b+c,c,b],[c,c+a,a],[b,a,a+b]|=4 , then abc =

Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c)(c+a)

Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c)(c+a)

Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c)(c+a)