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" सारणाक "|[1,a,b+c],[1,b,c+a],[1,c,a+b]...

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Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

The value of |[[1,a,b+c],[1,b,c+a],[1,c,a+b]]| is

|{:(1,a,b+c),(1,b,c+a),(1,c,a+b):}|=0

Evaluate |[1,1,1],[a,b,c],[b+c,c+a,a+b]|

Prove: |(1,a, b c),(1,b ,c a),(1,c ,a b)|=|(1,a ,a^2),( 1,b,b^2),( 1,c,c^2)|

|[a, 1, b+c], [b, 1, c+a], [c, 1, a+b]|=?

If D=[[1,a,b],[1,b,c],[1,c,a]] , then [[a,b,c],[b,c,a],[1,1,1]] =

Prove that |[1+a,1, 1], [1,1+b,1], [1, 1, 1+c]|=a b c(1+1/a+1/b+1/c)=a b c+b c+c a+a b

Show that |[1,b c, a(b+c)],[1,c a, b(c+a)],[1,a b ,c(a+b)]|=0 .

Show without expanding that |[1,a, a^2],[ 1,b,b^2],[ 1,c,c^2]|=|[1,b c, b+c],[1,c a, c+a],[1,a b, a+b]|