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Define involuntary matrix and show that ...

Define involuntary matrix and show that `[(0,1,-1),(4,-3,4),(3,-3,4)]` is an involuntary matrix.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.

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

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

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

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

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

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

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

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  10. Find Integrating factor of:(x logx)dy/dx+y=2logx

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

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  12. Solve dy/dx+y/x=xy^2.

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  13. Prove that int(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12

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  14. Prove that the measure of the angle between two main diagonals of a cu...

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  15. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  16. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

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  17. Show that the vector area of the triangle whosse vertices have positio...

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  18. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  19. If y=x^(sinx)+(sinx)^(cosx), then find (dy)/(dx).

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  20. Show that sin^(P) theta cos^(q) theta attains a maximum value, when th...

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