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Find A^2-5A+6 if A=[[2,0,1],[2,1,3],[1,-...

Find `A^2-5A+6` if `A=[[2,0,1],[2,1,3],[1,-1,0]]`

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If A= [[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],[-2,5,3]] impliesA'=[[1,0,-2],[2,1,5],[0,3,3]] A+A' is skmmetric

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If A=[[2,0,-3],[4,3,1],[-5,7,2]] is expressed as sum of a symmetric an...

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  2. Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...

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  3. Find A^2-5A+6 if A=[[2,0,1],[2,1,3],[1,-1,0]]

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  4. Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+...

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  5. If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A'=I , then fi...

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  6. Find the value of a and b if the function given below is continuous. ...

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  7. If y=(sinx)^(tanx), find frac[dy][dx]

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  8. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

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  9. Prove that all normals to the curve x = a cos t + at sin t, y = a sin ...

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  10. If y=(tan^(-1)x)^2 then show that (x^2+1)^2 (d^2y)/(dx^2)+2x(x^2+1)((d...

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  11. Find intsec^3xdx

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  12. int0^(pi/2)sin2x log(tanx)dx

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  13. Solve (1+x^2)frac[dy][dx]+2xy-4x^2=0 subject to the initial condition ...

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  14. Evaluate: intfrac[x+3][sqrt(5-4x+x^2)]dx

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  15. If with reference to the eight handed system of mutually perpendicular...

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  16. Let veca and vecb be two unit vector and alpha be the angle between th...

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  17. Find the distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12.

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  18. Solve for x: cot^(-1)(x-1)+cot^(-1)(x-2)+cot^(-1)(x-3)=0

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  19. Show that sin^(-1)frac[12][13]+cos^(-1)frac[4][5]+tan^(-1)frac[63][16]...

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  20. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

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