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Using the property of determinants and without expanding prove that `abs([p,q,r],[p^2,q^2,r^2],[p^3,q^3,r^3])=pqr(p-q)(q-r)(r-p)`

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MAHAVEER PUBLICATION-DETERMINANTS-QUESTION BANK
  1. Find the value of x is abs([3,x],[x,1])=abs([3,2],[4,1])

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  2. Find the value of x is abs([2,3],[4,5])=abs([x,3],[2x,5])

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  3. Using the property of determinants and without expanding prove that ab...

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  4. Using the property of determinants and without expanding, prove that:...

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  5. Using the property of determinants and without expanding, prove that:...

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  6. Using the property of determinants and without expanding prove that ab...

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  7. Using the property of determinants and without expanding, prove that:...

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  8. Using the property of determinants and without expanding prove that ab...

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  9. Find the minors and cofactors of the elements of the following determi...

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  10. Find the minors and cofactors of the elements of the following determi...

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  11. Find the minors and cofactors of the elements of the following determi...

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  12. Find the minors and cofactors of the elements of the following determi...

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  13. Solve the system of equations by cramer's rule: 5x-y+4z=5 , 2x+3y+5z=2...

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  14. Solve the system of equations by cramer's rule: 2x-3y+z=-1 ,3x+y-2z=1 ...

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  15. Solve the system of equations by cramer's rule: x+y+z=3 , 2x-y+3z=4 an...

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  16. Solve the system of equations by cramer's rule: 5x-y=9 , 3x+y=7 and x...

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  17. Solve the system of equations by cramer's rule: x+y+z=1 , x+2y+z=2 , x...

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  18. Solve the system of equations by cramer's rule: 3x+y+4z=0 , 5x+y+3z=1 ...

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  19. Solve the system of equations by cramer's rule: x+2y-z=3 , 3x-4y+5z=7 ...

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  20. Solve the system of equations by cramer's rule: 3x+3y-4z=2 , 5x-y=4 a...

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