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If ` A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)]` , find `A^(-1)` and use it to solve the following system of equation `5x - y + 4z = 5, 2x + 3y +5z = 2, 5x - 2y + 6z =-1`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. The range of the principal value branch of the function y= sec^(-1)x i...

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  2. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  3. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

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  4. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

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  5. Find the principal value of: cos^(-1)(-1/2)

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  6. Show that the plane X-5Y-2Z =1 contains the line (X-5)/3 = Y = 2- Z

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  7. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  8. If | (2x, -9), (-2, x) | = |(-4,8) , (1, -2)|, then value of x is

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  9. If A is a non- singular square matrix of the order 3 such that A^2=3A ...

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  10. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

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  11. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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  12. Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx

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  13. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  15. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  16. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  17. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  18. If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...

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  19. If y=e^acos^((-1)x),-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...

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  20. Find f'(x) if f(x) = tan x^(tan x)

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