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Comprehension 2 Consider the syste...

Comprehension 2 Consider the system of linear equations `alphax+y+z=m x+alphay+z=n x+y+alphaz=p` If `alpha=-2\ 7\ m+n+p!=0` then system of linear equations has- a. no solution b. infinite solutions c. unique solution d. finitely many solution

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Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=1\ &\ m!=p then the system of linear equations has- a. no solution b. \ infinite solutions c. unique solution d. \ unique solution if\ p=n

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=1\ &\ m!=p then the system of linear equations has- a. no solution b. \ infinite solutions c. unique solution d. \ unique solution if\ p=n

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For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has i no solution ii a unique solution iii in finitely many solutions.

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ALLEN-DETERMINANTS-All Questions
  1. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

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  2. consider the following system of equation alphax+y+z=m x=alphay+z=...

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  3. Comprehension 2 Consider the system of linear equations alphax+y...

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  4. Comprehension 2 Consider the system of linear equations alphax+y...

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  5. For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz...

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

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

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

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

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

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

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

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

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

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

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  18. 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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  19. Prove that |b+c a a b c...

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  20. about to only mathematics

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