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Prove that |(bc-a^2, ca-b^2, ab-c^2),(ca...

Prove that `|(bc-a^2, ca-b^2, ab-c^2),(ca-b^2, ab-c^2, bc-a^2),(ab-c^2, bc-a^2, ca-b^2)|` is divisible by a+b+c. Also find the value of the quotient.

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. If A = [(3,2,2),(2,3,2),(2,2,3)], find adj (Adj A)

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  2. If A = [(1,0,2),(0,2,1),(2,0,3)], find A (adj A)

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  3. Prove that |(bc-a^2, ca-b^2, ab-c^2),(ca-b^2, ab-c^2, bc-a^2),(ab-c^2,...

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  4. Using matrix method solve the following systems of equations: (3x + ...

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  5. Using matrix method solve the following systems of equations: {:(3x ...

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  6. Using matrix method solve the following systems of equations: {:(2x ...

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  7. Using Cramers, rule solve the following system of equations: {:(5x +...

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  8. Using Cramers, rule solve the following system of equations: {:(3x +...

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  9. Using Cramers, rule solve the following system of equations: {:(x-2y...

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  10. Solve the following equations by matrix method. {:(5x + 3y + z = 16)...

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  11. Solve the following equations (by matrix method) : 2x + 8y + 5z = 5, x...

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  12. Find A^-1 if A = [(-1,2,5), (2,-3,1),(-1,1,1)] and hence, solve the sy...

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  13. Find A^-1,A= {:[(1,2,-3),(2,3,2),(3,-3,-4)] Hence, solve the following...

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  14. If A = [(2,-1,3),(1,3,2),(3,-4,-1)], find A^-1, Using A^-1, solve the ...

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  15. If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...

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  16. If A = [(1,2,0),(-2,-1,-2),(0,-1,1)], find A^-1 using A^-1 solve the e...

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  17. Given that A = {:[(-4,4,4),(-7,1,3),(5,-3,-1)] and B = [(1,-1,1),(1,-2...

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  18. Solve the following system of linear equations by matrix method: x + 2...

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  19. Use matrix methocd to solve the following system of equations: {:(x-y ...

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  20. Use matrix methocd to solve the following system of equations: {:(4x +...

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