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Find A if `A^(-1)=[(3,-5),(-1,2)]`

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

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...

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  2. Show that x=2 is a root of [[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]]=0 S...

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  3. Find A if A^(-1)=[(3,-5),(-1,2)]

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  4. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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  5. Find B if B^(2)=[{:(17,8),(8,17):}]

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  6. Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.

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  7. If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...

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  8. If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1

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  9. Let f(x)={(1/(x+[x]),if xlt0),(-1,if xge0):} Examine the continuity of...

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  10. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

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  11. Find the equation of tangents and normals to the parabola y^2=4ax at t...

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

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  13. Evaluate inte^x((1+sinx)/(1+cosx))dx.

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  14. Evaluate the integral: int(x^2-4)/(x-2)dx

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  15. Solve the following differential equations (x+tany)dy= sin 2y ""dx

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  16. Evaluate int0^7 [x/3]dx

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  17. Prove that the point (1,2,3),(-1,1,0),(2, 1, 3) and (1, 1, 2) are copl...

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  18. If veca and vecb are unit vectors represented by the adjacent sides of...

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  19. Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...

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  20. Find the angle which a diagonal of a cube makes with one of its edges.

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