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Question: 1. Use Cauchy's Inequality to show that, for any fixed vector a, the choice b = βa maximizes the quantity |b†a| 2/b†b, for any constant β.
2. Use the definition of the covariance matrix Q to show that Q is Hermitian and that, for any vector y, y†Qy ≥ 0. Therefore, Q is a nonnegative definite matrix and, using its eigenvector decomposition, can be written as Q = CC†, for some invertible square matrix C.
Business documents can be used for a variety of reasons and fall into three basic categories. If you are in a situation where you need to offer data, facts, feedback, and other types of information, you would use Informational reports.
Show by the method of Lagrangian multipliers that the time for the wave to travel the path APB is a minimum when w/w' = sin Φ /sin Φ'.
Direct Products of Groups, Conjugate Subgroups, Homomorphisms and Isomorphisms, Assume that K is a cyclic group, H is an arbitrary group and f1 and f2 are homomorphisms from K into Aut(H) such that f1(K) and f2(K) are conjugate subgroups of Aut(H)
What is implication of hiring an individual with different title and responsibilities to work in department not related to his title. example storekeeper is transferred to food and beverage department as food and beverage assistant but continues w..
state the row operation and describe how it affects the determinant.
What must be true for a pentagon so that it will tessellate a plane?
Find recurrent and transient classes and periods of all states - Explain why {Xn}n∈N0 is a Markov chain on the appropriate state space S and the find the transition probabilities
Upstream, downstream: Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Two opposite vertices of a square are P(3, 2) and Q(-5, -10). Find the length of:
Describe some of the important criteria that you would use in selecting a project for analysis and design. In your view, what are the three most important criteria?
An integer is called squarefree if it is not divisible by the square of a positive integer greater than 1. Find the number of squarefree positive integers less than 100.
Suppose you were given data from a survey showing the IQ of each person interviewed and the IQ his or her mother. That is all the information you have. Your boss has ask you to put together a report showing the relationship between these two varia..
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