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MATHEMATIKAA

MATHEMATIKAA

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IIT JEE , CSIR NET-JRF,UPSC MATHS OPTIONAL,BSC,MSC,IIT JAM,TIFR

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Let fn: [0,1] ---> R be given by fn(t)= (n+2)(n+1)t^n (1-t) , for all t in [0,1]. Which of the following is true?
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Choose the correct option
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Consider the following maximization problem: maximize x1+3x2 s.t. x1>=0, x2>=0 and x1+x2<=6 2x1+x2<=8 x1+2x2<=9. Which of the following is the dual problem?
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Which of the following statements is/are correct for every linear transformation T: R^3 -->R^3 such that T^3 - T^2 - T+ I=0?
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Which of the following statements is/are correct for every linear transformation T: R^3 -->R^3 such that T^3 - T^2 - T+ I=0? (a) T is invertible as well as diagonalizable (b) T is invertible, but not necessarily diagonalizable (c) T is diagonalizable, but not necessarily invertible (d) None of the above Solve this question. You will get the correct solution tomorrow.

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