Write a program using any language you'd like that computes the QR factorization of a matrix. You cannot use a pre-built command to do this. You must have your program check to make sure the columns of A are linearly independent. Then your program must compute Q using the Gram-Schmidt process and then normalize your vectors. Finally, your program must compute R using the fact that R=QTA. You must verify your program works by checking a matrix of size 3×5, 6×4, and 5×5. (Your matrices must have more non-zero entries than zero entries.)

Write a program using any language you'd like that computes the QR factorization of a matrix. You cannot use a pre-built command to do this. You must have your program check to make sure the columns of A are linearly independent. Then your program must compute Q using the Gram-Schmidt process and then normalize your vectors. Finally, your program must compute R using the fact that R=QTA. You must verify your program works by checking a matrix of size 3×5, 6×4, and 5×5. (Your matrices must have more non-zero entries than zero entries.)

Name: Write a program using any language you'd like that computes the QR fac
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Description: Write a program using any language you'd like that computes the QR factorization of a matrix. You cannot use a pre-built command to do this. You must have your program check to make sure the columns of A are linearly independent. Then your program m

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section5.5: A Closer Look: Loop Programming Techniques

Problem 12E: (Program) Write a program that tests the effectiveness of the rand() library function. Start by...

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