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Express the following matrices as the su...

Express the following matrices as the sum of a Symmetric and a Skew Symmetric matrix.
`[[3,3,-1],[-2,-2,1],[-4,-5,2]]`

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Solve graphically. Maximise Z=5x+3y Subject to the constraints 3...

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  2. A=[[3,3,-1],[-2,-2,1],[-4,-5,2]] Find A^T

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  3. Express the following matrices as the sum of a Symmetric and a Skew Sy...

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  4. If A^T=[[cosx,sinx],[-sinx,cosx]],Verify that A^TA=I

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  5. Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0

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  6. Consider the following system of equations 2x-3y+5z=11, 3x+2y-4z=-5,x...

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  7. Consider the following system of equations 2x-3y+5z=11,3x+2y-4z=-5...

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  8. Find dy/dx of the following x^2+xy+y=100

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  9. Find dy/dx of the following y^x=2^x

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  10. Find dy/dx of the following x=costheta,y=sintheta at theta=pi/4

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  11. Evaluate the integrals intx/((x+1)(x+2))dx

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  12. Evaluate the following int0^1 xe^(x^2)dx

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  13. Evaluate the following int-5^5 abs[x+2]dx

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  14. Consider the parabolas y^2=4x,x^2=4y Draw a rough figure for the abov...

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  15. Consider the parabolas y^2=4x,x^2=4y Find the point of intersection ...

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  16. Consider the parabolas y^2=4x,x^2=4y Find the area bounded by these ...

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  17. Find the shortest distance between the lines whose vector equations ...

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  18. (i) If a plane meets positive x axis at a distance of 2units from th...

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  19. A die is thrown twice let the event A be 'odd number on first throw' a...

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  20. If f(x)=x/(x-1) ,x!=1 Find fof(x)

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