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Solve by matrix method. 2x + y = 5 , x-y...

Solve by matrix method. 2x + y = 5 , x-y =1

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Solve by matrix method: 2x + 3y=1,4x+5y=3

Find the product of matrices A and B, where A = [[-5,1,3],[7,1,-5],[1,-1,1]] and B = [[1,1,2],[3,2,1],[2,1,3]] Hence solve the following equations by matrix method, x + y +2z= 1 , 3x +2y + z = 7 , 2x + y + 3z = 2 .

Examining consistency and solvability, solve the following equation by matrix method. x+y+z=4 2x-y+3z=1 3x+2y-z=1

Exaniming consistency and solvability, solve the following equations by matrix method. x + 2y + 3z =14 , 2x -y + 5z = 15 , 2y + 4z-3x = 13

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Prove that sin^(-1)(frac[sqrt(1+x)+sqrt(1-x)][2])=frac[pi][4]+frac[1][...

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  2. Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...

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  3. Solve by matrix method. 2x + y = 5 , x-y =1

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  4. If A=[[(1,1)],[(1,1)]] and n inN, then A^n=2^(n-1)A .

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  5. If [[(x,y)],[(x,x/2+x)]]+[[(y,x+t)],[(x/2,x/2)]]=[[(1,4)],[(2,2)]] the...

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  6. Evaluate the determinant abs((4,6,-2),(1,-4,3),(7,-2,1)

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  7. If abs((a,b,a-b),(b,c,b-c),(2,1,0))=0 , then prove that a,b,c are in G...

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  8. evaluate lim(xto1)(x^2-3x+2)/(x-1) .

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  9. If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2 then prove that x^3ydy/dx=1.

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  10. Find the maximum and minimum of f(x)=|x+3|,for all x belongs to R.

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  11. Find the interval on which the function f(x)=x^x decreases.

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  12. Find the solution of the following differential equations: (4x+6y+5)dx...

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  13. Integrate int((1-cosx)/(1+cosx))dx .

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  14. Solve (x+y)^(2)(dy)/(dx)= a^(2).

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  15. If f is periodic with period 3 and f(1) = 1 then what is the value of ...

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  16. Evaluate int(-2)^2abs([x])dx .

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  17. Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2).

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  18. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  19. Prove that (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2=2veca^2 .

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  20. Find the equation of planes passing throught the points (6,-1,1), (5,1...

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