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What is AB – BA if A, B and AB are all s...

What is AB – BA if A, B and AB are all symmetric matrices .

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Between tan 1 and tan^(-1)1, which is greater?

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  2. Answer the following: In which inverval does the determinant A =[[1...

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  3. What is AB – BA if A, B and AB are all symmetric matrices .

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  4. If y =(cosx+sinx)/cosx, then what is dy/dx ?

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  5. Write the order of the differential equation whose general solution is...

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  6. Consider the binary operation * on the set {1,2,3,4,5} defined by a*...

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  7. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  8. Find the feasible solution region of the following system of inequatio...

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  9. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

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  10. Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...

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  11. Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew...

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  12. Without expanding prove abs((bc, a, a^2),(ca, b, b^2),(ab, c, c^2))=ab...

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  13. Find the inverse of the matrix [[1,2],[3,4]]

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  14. Find A and B where 2A+B=[[2,2,5],[5,4,3],[1,1,4]]"and" A-2B=[[1,6,5],...

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  15. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

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  16. Find absolute maximum and absolute minimum of f(x)={((x+1)^2,xle0),((x...

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  17. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

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  18. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

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  19. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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

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