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Consider the set A of all determinants o...

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value `-1`. Then

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  2. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  3. Consider the set A of all determinants of order 3 with entries 0 or 1 ...

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  4. Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3...

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  5. If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x]...

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  6. If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...

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  7. If f^(prime)(x)=|[mx, mx-p, m x+p], [n, n+p, n-p], [mx+2n, m x+2n+p, m...

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  8. If sum(n=1)^nalphan=a n^2+b n ,w h e r ea ,b are constants and alp...

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  9. The determinant |x p+y x y y p+z y z0x p+y y p+z|=0 if x ,y ,z

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  15. If alpha,beta,gamma are the angles of a triangle and system of equatio...

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  16. Without expanding the determinants, prove that |(103, 115, 114), (111,...

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  17. Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z a...

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  18. Find the value of determinant |[sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)],[...

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  20. Prove that the value of the determinant |-7 5+3i2/3-4i5-3i8 4+5i2/3+4i...

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