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If A = [[1,1,-2],[2,1,-3],[5,4,-9]], fin...

If `A = [[1,1,-2],[2,1,-3],[5,4,-9]]`, find |A|

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PSEB-DETERMINANTS-Exercise
  1. Evaluate the determinant : |[0,1,2],[-1,0,-3],[-2,3,0]|

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  2. Evaluate the determinant : |[2,-1,-2],[0,2,-1],[3,-5,0]|

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  3. If A = [[1,1,-2],[2,1,-3],[5,4,-9]], find |A|

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

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

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

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

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

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

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

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

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

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

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

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

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