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If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then...

If `A=[{:(1,2,3),(3,-2,1),(4,2,1):}]` then show that `A^(3)-23A-40I=O`

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SHARAM PUBLICATION-QUESTION PAPER 2019-EXERCISE
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  2. Find the probability distribution of number of heads in three tosses...

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  3. If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O

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  4. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  5. A person takes 4 tests in succession. The probability of his passing t...

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

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

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

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

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

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

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  17. Find a unit vector perpendicular to both of the vectors veca + vecb an...

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

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  19. Find the vector equation of a plane which is at a distance of 3 units ...

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  20. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

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