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Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ...

Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ​ y x+y x ​ x+y x y ​ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​

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ALLEN-DETERMINANTS-All Questions
  1. Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y+q z=5 Values of p\ &\ q f...

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  2. Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, ...

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  3. Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ​ y x+y x ​ x+y x y ​ ...

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  4. Let delta=|A x x^2 1 B y y^2 1 C z z^2 1|a n d1=|A B C x y z y z z xx ...

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  5. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

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  6. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

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  7. Using properties of determinants, evaluate |[18, 40 ,89],[ 40 ,89, 198...

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  8. Find the area of the triangle with vertices at the points: (-1 ,-8 ), ...

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  9. By using properties of determinants. Show that: |1+a^2-b^2 2a b-2b2a b...

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  10. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2) .

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  11. Absolute value of sum of roots of the equation |[x+2,2x+3, 3x+4],[ 2x+...

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  12. If a+b+c=0, one root of |a-x c b c b-x a b a c-x|=0 is x=1 b. x=2 c. ...

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  13. Prove that |b+c a a b c...

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  14. about to only mathematics

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  15. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  16. If "Delta"r=|[2^(r-1),2. 3^(r-1),4. 5^(r-1)],[x, y ,z],[2^n-1, 3^n-1, ...

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  17. If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...

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  18. about to only mathematics

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  19. Solve the following sets of equation using Cramer’s rule and remark...

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  20. Solve the following sets of equation using Cramers rule and remark a...

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