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If A is a symmetric matrix, then A- A is...

If A is a symmetric matrix, then A- A is both symmetric and skew symmetrix. State true or false.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  4. If f(x)={(x,0lexle1),(2-x,1lexle2):}, then what is the value of int0^2...

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  5. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

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  6. Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...

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  7. Minimize:Z=6x1+7x2 "Subject to":x1+2x2 ge 4 x1,x2 ge 0

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  8. If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (...

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  9. Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.

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  10. Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

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  11. Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] i...

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  12. If [(3,-2),(5,1)][(x),(y)]=[(12),(7)], then find xand y.

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  13. If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...

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  14. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...

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  15. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

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  16. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

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  17. Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...

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  19. Integrate int(x+7)/(x^2+8x)dx

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