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If A=[[1,2,3],[3,-2,1],[4,2,1]]"show tha...

If `A=[[1,2,3],[3,-2,1],[4,2,1]]`"show that"`A^3-23A-40I=0`

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2019-PREVIOUS YEAR QUESTION
  1. Find the probability distribution of number of heads in three tosses...

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  2. If A=[[1,2,0],[0,1,3],[-2,5,3]], then verify that A+A' is symmetric an...

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  3. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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  4. Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.

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  5. Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...

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  6. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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  7. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  8. If y=e^(x^(e^(x^(e^x)))), then find dy/dx.

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  9. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

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  10. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

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  11. Find differential equation of the curve y=ae^(3x)+be^(5x).

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  12. Obtain the general solution of the following differential equations. (...

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  13. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

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  14. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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  15. Find the equation of a plane which is at a distance 3 units from the o...

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  16. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  17. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  18. Find the unit vector in the direction of the vector vecr1-vecr2, where...

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  19. Find the inverse of the following matrices using elementary transforma...

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  20. Out of the adult population in a village 50% are farmers, 30% do busin...

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