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If A=[(2,5),(1,3)], then find A^(-1)...

If `A=[(2,5),(1,3)]`, then find `A^(-1)`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

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  2. Prove that for any f:X rarr Y , f o idx = f =idY of.

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  3. If A=[(2,5),(1,3)], then find A^(-1)

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  4. Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,...

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  5. If [(x+y,y-z),(5-t,7+x)]=[(t-x,z-t),(z-y,x+z+t)], then find the values...

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  6. Express as a sum of a symmetric and a skew symmetric matrix: [[1,2,3],...

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  7. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

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  8. Find the intervals where the following functions are (a) increasing an...

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  9. Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).

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  10. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

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  11. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

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  12. Let f(x)={(absx/x,if xne0),(0,if x=0):} Examine the continuity of f(x)...

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  13. int(1+x^2)/(xsqrt(x^4+1))dx

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  14. Determine the area within the ellipse x^2/a^2+y^2/b^2=1.

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  15. int0^pi(xsinxdx)/(1+cos^2x)

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  16. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

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  17. Find the equation of the plane passing through the line (x-8)/3=(y+19)...

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  18. Prove that the sum of the vectors directed from the vertices to the mi...

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  19. If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle...

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  20. Find the image of the point (3,-2,1) in the plane x-y+3z=2.

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