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If A is a non-singular matrix then prove...

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

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SRISIRI PUBLICATION-QUESTION PAPER -Section C
  1. Using the principle of finite Mathematical Induction prove the followi...

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

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

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

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

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

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

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

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

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  12. Solve the system of equations x+y+z=3,2x+2y-z=3,x+y-z=1 by Gauss Jorda...

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  13. Examine the consistency of the following systems of equations x+y+z=1...

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  14. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  15. If bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=...

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  16. If bar(a) = 2bar(i) + 3bar(j) + 4bar(k), bar(b) = bar(i) + bar(j) -bar...

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  17. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

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  18. If A=(1,-2,-1) , B=(4,0,-3),C= (1,2,-1),D=(2,-4,-5) then find distan...

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  19. If A+B+C= 180^(@), then show that sin 2A+ sin 2B+ sin 2C =4 sin A sin...

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  20. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

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