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Find the inverse of the following matrix...

Find the inverse of the following matrix `[{:(1,1,2),(0,1,2),(1,2,1):}]`.

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ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER - 2018 -SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)
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  2. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  3. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

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  4. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

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  9. Test the continuity of the following function at x=0 f(x)={{:((1-e^(...

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  10. From the differential equation whose general solution is y=asint+be^t.

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  11. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

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  12. Evaluate int (dx)/((x+1)sqrt(1-x^2))

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  13. int(0)^(1/2)(1)/(sqrt(1-x^(2)))dx.

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  14. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

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  18. Prove that [(veca+vecb,vecb+vecc,vecc+veca)]=2[(veca,vecb,vecc)].

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  19. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  20. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

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