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If the sum of two eigen values and trace of a 3 Х 3matrix A are equal, find the value of mod[A] .

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Find a 10-digit number where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number? X and Y are independent random variables with variance 2 and 3. Find the variance of 3X+4Y 