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A) Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
B) How many square roots can a positive definite matrix have?
If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
How do I determine the short-run profit maximizing price and quantity? How do I determine the maximum profit accruable to the firm?
A hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height above the base the section is made, if height of the cone is 30cm
Cutter Enterprises purchased equipment for $72,000 on January 1, 2006. The equipment is expected to have a five-year life, with a residual value of $6,000 at the end of five years.
If 2 cards are drawn from a regular deck of 52 cards without replacement, what is the probability that the second card is a queen? (Note: your final answer must be a single probability)
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
Recurrence relations with complex characteristic roots
Find the price of the material
Graphing the given function using the graphing utility - Compare with the exact solution w(t) = 2ln(1 + t) + 3.
A manufacturing cell claims they make 500 parts per day. D etermine if their claim is correct.
Determine the correct degree of freedom
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
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