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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.
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
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.
Find the probability of observing
Find the number of ways to get following card combinations
Finding the solution for the specified variable in the given equation Solve x=yz
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
Complementary events. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are ind..
Write the two equations in slope-intercept form, and then determine how many solutions the system has.
Calculate the mean of this sampling distribution
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
Prove that the regression line passes through the centroid
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