If |■(-2a&a+b&a+c@b+a&-2b&b+c@c+a&b+c&-2c)|=α(a+b)(b+c)(c+a)≠0 then α is equal to

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If |■(a-b-c&2a&2a@2b&b-c-a&2b@2c&2c&c-a-b)|= (a+b+c) (x+a+b+c)

prove that det ( b+c a a , b c+a b , c c a+b)=4abc || Prove that `|b+c a a b c+a b cc a+b|=4a b c

Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3

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Let a, b, c be positive and not all equal. Show that the value of the determinant ` |[a,b,c],[b,...

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If a, b and c are real numbers, and `Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+c,c+a]|=0`. Show ...