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Statement I: If a ,\ \ b , c in R\ a n ...

Statement I: If `a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z` are non zero. Then the system of equations `a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0` has infinite solutions. because Statement II: If the homogeneous system of equations has no non trivial solution, then it has infinitely many solutions. a.`A` b. `\ B` c.`\ C` d. `D`

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ALLEN-DETERMINANTS-All Questions
  1. Find A for 2sinAcosA−cosA−2sinA+1=0 ;-

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  2. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  3. Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z ...

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

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  5. If A is an invertble matrix of order 2 then (det A ^-1) is equal to...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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