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If |[x,2],[18,x]| = |[6,2],[18,6]|, then...

If `|[x,2],[18,x]| = |[6,2],[18,6]|`, then x is equal to:

A

6

B

`+-6`

C

-6

D

0

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PSEB-DETERMINANTS-Exercise
  1. Find values of x, if : |[2,4],[5,1]| = |[2x,4],[6,x]|

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  2. Find values of x, if : |[2,3],[4,5]| = |[x,3],[2x,5]|

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  3. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

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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:...

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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:...

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

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  10. Prove that: |[-a^2, ab,ac],[ba,-b^2,bc],[ca,cb,-c^2]|=4a^2b^2c^2

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  11. By using properties of determinants, show that : |[1,a,a^2],[1,b,b^2]...

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  12. By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^...

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  13. By using properties of determinants, show that : |[x+4,2x,2x],[2x,x+4...

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  14. Prove that: |[x,x^2,yz],[y,y^2,zx],[z,z^2,xy]|=(x-y)(y-z)(z-x)(xy+yz+z...

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  15. Prove that : |[y+k,y,y],[y,y+k,y],[y,y,y+k]|=k^2(3y+k).

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  16. Show that: |[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3

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  17. By using properties of determinants, show that : |[x+y+2z,x,y],[z,y+...

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  18. By using properties of determinants, show that : |[1,x,x^2],[x^2,1,x...

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  19. Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...

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  20. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

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