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Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
Find the fraction interms of LCM using given fraction - Evaluate the fraction in terms of LCM
Finding the accumulated value of compound interest.
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05 , what was the average time for one of his earlier splits?
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Read the Nature article, Sustainable Trophy Hunting of African Lions and discuss any challenges in the analysis. Can you think of another ways to do the regression analysis?
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
State the null & alternative hypotheses in words
An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor
Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
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