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If A is a skew symmetric matrix of order...

If A is a skew symmetric matrix of order 3. Then prove that it's determinant is zero. (without using examples).

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BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.

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  2. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.Find AA' and hence ...

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  3. For any square matrix A,prove that A+A' is symmetric.

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  4. If A is a skew symmetric matrix of order 3. Then prove that it's deter...

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  5. Given abs [[2+x,3,4],[1,-1,2],[x,1,5]] is a singular matrix. Find the ...

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  6. Given A and B are square matrices of order 2 such that absA=-1, absB=3...

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  7. Find the intervals in which the function f(x)=x^2+2x-5 strictly increa...

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  8. Find the equation of tangents and normals to the given curves y=x^3 at...

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  9. Find local maximum and local minimum if any for the function. h(x)=sin...

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  10. Integrate the following intfrac(dx)(1+x^2/4)

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  11. Integrate the following intfrac(x)((x-1)(x-2))dx

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  12. Integrate the following int0^fracpi2xcosxdx

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  13. If veca,vecb,vecc are three coplanar vectors, then [vecavecbvecc] is

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  14. If absveca=2,absvecb=3 and theta is the angle between veca and vecb. T...

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  15. If vecb=2hati+hatj-hatk,vecc=hati+3hatk and veca is a unit vector. Fin...

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  16. Solve the linear programming problem graphically: Max: z=3x+2y Su...

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  17. The probability distribution of a random variable X is given in the fo...

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  18. The probability distribution of a random variable X is given in the fo...

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  19. The probability distribution of a random variable X in given in the fo...

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  20. The probability distribution of a random variable X is given in the fo...

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