Without expanding the determinant, prove that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a...

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Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[ 1 ...

By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(...

|[ 1 a a^2-bc; 1 b b^2-ca; 1 c c^2-ab ]|= (A) 0 (B) ∑ a^2(b-c...

Without expanding the determinants, prove that \[ \left|\begin{array}{lll} a & b & c \\ x & y & ...

By using properties of determinants, show that: |[ a^2+1 a b a c; a b b^2+1 b c; c a ...

Prove that |[ b+c c b; c c+a a; b a a+b ]|=4 a b c . D