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Evaluate the following determinants: [...

Evaluate the following determinants:
`[[1^2,2^2,3^2],[2^2,3^2,4^2],[3^2,4^2,5^2]]`

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ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(B))
  1. Evaluate the following determinants |{:(1,1,1),(2,3,4),(3,4,6):}|

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  2. Evaluate the following determinants |{:(1,2,3),(3,5,7),(8,14,20):}|

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  3. Evaluate the following determinants: [[1^2,2^2,3^2],[2^2,3^2,4^2],[3...

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  4. Evaluate the following determinants: [[1,0,-5863],[-7361,2,7361],[1,...

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  5. Evaluate the following determinants: [[265,240,219],[240,225,198],[2...

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  6. Evaluate the following determinants: [[0,a^2,b],[b^2,0,a^2],[a,b^2,0...

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  7. Evaluate the following determinants: [[a-b,b-c,c-a],[x-y,y-z,z-x],[p...

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  8. Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c...

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  9. Evaluate the following determinants |{:(-cos^2 theta,sec^2 theta),(c...

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  10. If [[1,1,1],[1,1+x,1],[1,1,1+y]]=0 what are x and y?

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  11. For what value fo x [[2x,0,0],[0,1,2],[-1,2,0]]=[[1,0,0],[2,3,4],[0,...

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  12. Solve [[x+a,0,0],[a,x+b,0],[a,0,x+c]]=0

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  13. Solve [[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+x]]=0

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  14. Solve [[x+a,b,c],[a,x+b,c],[a,b,x+c]]=0

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  15. Show that x=2 is a root of [[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]]=0 S...

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  16. Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

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  17. Evaluate [[a,a^2-bc,1],[b,b^2-ac,1],[c,c^2-ab,1]]

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  18. For what value of lamda the system of equations x+y+z=6, 4x+lamda y-...

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  19. If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...

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  20. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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