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Problem
1. Suppose that A is an invertible matrix with eigenvector v. Show that v is also an eigenvector for A-1.
2. Show that the eigenvalues of MMT are the same as that of MTM. Are their eigenvectors also the same?
3. Compare the speed of a library function for matrix multiplication to your own implementation of the nested loops algorithm.
• How much faster is the library on products of random n × n matricies, as a function of n as n gets large?
• What about the product of an n × m and m × n matrix, where n « m?
• By how much do you improve the performance of your implementation to calculate C = A · B by first transposing B internally, so all dot products are computed along rows of the matrices to improve cache performance?
In the sample, almost 40% of the e-mail messages were tagged as spam. Compute the constants of the classification functions to account for this information.
the first script that needs to be written is automating the shutdown procedure. write a script that will perform the
What is total capacity of a track
What about changing a write lock into a read lock? In at what instant is the point-of-no-return reached? That is, when is the atomic commit actually performed?
If not, under what circumstances does this happen? Is there any way to avoid the problem and make the system able to tolerate coordinator crashes?
Write a class called BarChart that compares the data using a bar graph representation. Allow the parameters to the constructor to specify the bar's width.
Discuss what preventive maintenance is, in terms of computer hardware and software. Write a short report on preventive maintenance tasks. Be sure to detail how often each task should be carried out, and under what circumstances.
What is an operating system? Why are audits of this area viewed as complex? Why is security software necessary in operating systems?
Must businesses choose between good ethics and financial benefits? Explain your answer using Schrage's scenarios or your own examples.
You can push multiple operands on the stack. The operation will always use the two topmost values. For example, to evaluate (A+B+C), you can use the code below:
Describe the Architecture of a Java EE application that describes the above system. Describe architectural style(s) you are following
Write a program to play Connect Four. Connect Four is a two-player connection game in which the players first choose a color and then take turns dropping colored discs from the top into a seven-column.
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