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If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,...

If A `[[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]]`
Show that AB=AC
though B '!=C`.Verify that: A(B+C)=AB+AC

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If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B !=C .Verify that: A(BC) =(AB)C

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B !=C .Verify that: A+(B+C)=(A+B)+C

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If A=[[2,1],[1,2]],B=[[3,2],[2,1]] find (AB)^(-1) .

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

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  3. If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...

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  4. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  5. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  6. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  7. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  8. Find the number of binary operations on the set {a,b}.

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  9. If A, B are symmetric matrices of same order, then find AB-BA.

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  10. Let A be square matrix of order 3times3, then find abs(KA) where, k is...

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  11. If A is an invertible matrix of order 2, then find det(A^(-1)).

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  12. Find intx^2e^(x^3)dx

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  13. Give an example of a homogeneous differential equation.

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  14. In triangle ABC, find vec(AB)+vec(BC)+vec(CA)

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  15. Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac...

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  16. Are the planes 2x-y+4z=5 and 5x-25y+10z=6 are perpendicular?

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  17. Find fog(2) and gof(1), when f:RrightarrowR defined by f(x)=x^2+8 and ...

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  18. Solve cos^(-1)x+sin^(-1)frac[x][2]=frac[pi][6].

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  19. Solve LPP: Maximize Z=5x1+7x2 subject to the constrains 3x1+4x2le12,x1...

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  20. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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