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If f: A to B, g:B to C are two bijective...

If `f: A to B, g:B to C` are two bijective functions then prove that `gof:A to C` is also a bijective function.

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SRISIRI PUBLICATION-QUESTION PAPER -Section C
  1. If f: A to B, g:B to C are two bijective functions then prove that gof...

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  2. If f:ArarrB,g:BrarrC are two bijective functions then P.T ("gof")^(-1)...

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  3. If f:A to B is a function and I(A), I(B) are identify functions on A,B...

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  4. If f:A to B is a bijective function then prove that (i) fof^(-1) = I...

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  5. If f:A to B is a bijective function then prove that (ii) f^(-1) of =...

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  6. Statement -I: f: A to B is one -one and g: B to C is a one-one functio...

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  7. Using Mathematical Induction, prove that statement for all n in N 1....

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  8. Using the principle of finite Mathematical Induction prove that 1^(2...

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  9. Using the principle of finite Mathematical Induction prove the followi...

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  10. Using the principle of finite Mathematical Induction prove the followi...

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  11. Using the principle of finite Mathematical Induction prove the followi...

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  12. Using the principle of finite Mathematical Induction prove the followi...

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  13. If A is a non-singular matrix then prove that A^(-1) = (adjA)/(|A|).

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  14. Show that |{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}| =(a-b)(b-c)(c-a)(a...

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  15. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

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  16. Show that |{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(...

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  17. Find the value of x, if |(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3...

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  18. If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...

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  19. By Cramer's rule, solve x-y+3z = 5, 4x+2y-z = 0, x+3y+z = 5.

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  20. By Matrix inverse method, solve 3x+4y+5z = 18, 2x-y+8z=13, 5x-2y+7z = ...

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