If a, b, c are real numbers, then the value the determinant ` |(1-a,a-b-c,b+c),(1-b,b-c-a,c+a...

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XII Determinants If a b and c are real numbers and determinant b+c c+a a+b c+a a+b b+c XII Determinants If a b and c are real numbers and determinant b+c c+a a+b c+a a+b b+c
If matrix A=[[ a b c; b c a; c a b ]], where a, b, c are real positive numbers, a b c=1 and A^T A... If matrix A=[[ a b c; b c a; c a b ]], where a, b, c are real positive numbers, a b c=1 and A^T A...
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 ... 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 ...
Prove that `|{:(1, 1, 1),(a, b, c),(a^(3), b^(3), c^(3)):}|=(a-b)(b-c)(c-a)(a+b+c)` Prove that `|{:(1, 1, 1),(a, b, c),(a^(3), b^(3), c^(3)):}|=(a-b)(b-c)(c-a)(a+b+c)`
The value of the determinant |(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab)| is (A) (a+b+c),(a^2+b^2+c^... The value of the determinant |(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab)| is (A) (a+b+c),(a^2+b^2+c^...
How to Solve Determinant questions in 10 Sec | Determinants Shortcut | Arvind Kalia sir How to Solve Determinant questions in 10 Sec | Determinants Shortcut | Arvind Kalia sir
Prove `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1/a+1/b+1/c+1)` Prove `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1/a+1/b+1/c+1)`
If a,b,c are distinct, show that `[[1,1,1],[a,b,c],[a^3,b^3,c^3]] = (b-c) * (c-a)*(a-b)(a+b+c)... If a,b,c are distinct, show that `[[1,1,1],[a,b,c],[a^3,b^3,c^3]] = (b-c) * (c-a)*(a-b)(a+b+c)...