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Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y...

Comprehension 3 `x+y+3z=4 2x+p y+6z=8x+2y+q z=5` Values of `p\ &\ q` for which the system has infinitely many solution a.`\ p!=2,\ q in R` b. `\ p=2,\ q in R` c.`p in R ,\ q=3` d. `"p" in "R","\ q"!=3`

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ALLEN-DETERMINANTS-All Questions
  1. For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz...

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  2. The system of equations x+2y+3z=4 , 2x+3y+4z=5, 3x+4y+5z=6 h...

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  3. Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y+q z=5 Values of p\ &\ q f...

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

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

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

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

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

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

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

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

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  14. 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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  15. Prove that |b+c a a b c...

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  16. about to only mathematics

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

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  18. 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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  19. 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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  20. about to only mathematics

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