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Question: A Householder matrix, or an elementary reflector, has the form Q = I - 2uuT where u is a unit vector. Show that Q is an orthogonal matrix. (Elementary reflectors are often used in computer programs to produce a QR factorization of a matrix A. If A has linearly independent columns, then left-multiplication by a sequence of elementary reflectors can produce an upper triangular matrix.)
1. Is the legal opinion given to Taxpayer and the use of basis by the accountant for the 1988 tax year correct? Explain your answer.
Given line XYZ, XZ=4n+6, find the value of n. XY=n-4, YZ=12+5n
A rectangular field is to be fenced along two sides and two ends. It is also required to have three additional cross fences from side to side in order to form four plots as illustrated below.
Using graph paper, repeat this process from the last problem using different coordinates for P, Q, and R. How do these lengths MN and PQ compare now?
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Find the range of the sets (a) 12, 6, 7, 3, 15, 10, 18, 5
The doubling period of a baterial population is minutes. At time minutes, the baterial population was 60000. For some constant A, the formula for the population is where . What was the initial population at time ?
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
The speed of light is bout 1.86 x 10^5 miles/second. How long does it take the light to reach Earth from the sun? give answer in seconds and minutes
What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
Describe the difference between direct costs and variable costs. Consider how a healthcare manager might use this information in making decisions. How might you, as a healthcare manager use cost allocation method to assign costs to support activit..
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