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CMI-2021-DataScience-B: 9

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What is the smallest possible value of $\displaystyle{}\sum_{i=1}^{n} \frac{1}{d_{i}+1}$, if the $d_{i} \text{'s}$ are constrained to be non-negative real numbers and satisfy $\displaystyle{}\sum_{i=1}^{n} d_{i}=N.$
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admin asked Jul 23, 2022
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CMI-2021-DataScience-A: 9
Which of the following statement(s) is/are true for an arbitrary $n \times n$ matrix $A?$ Exchanging two rows of $A$ does not change its determinant. Exchanging two rows of $A$ does not change its trace. Replacing each diagonal element of $A$ with a $1$ does not change its determinant. Exchanging two columns of $A$ negates its determinant.
Which of the following statement(s) is/are true for an arbitrary $n \times n$ matrix $A?$Exchanging two rows of $A$ does not change its determinant.Exchanging two rows of...
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