MHB QR Factorization: Uses & Benefits

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[h=3]Why are QR factorization useful and important?[/h]
 
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matqkks said:
[h=3]Why are QR factorization useful and important?[/h]
http://www4.ncsu.edu/eos/users/w/white/www/white/ma580/chap3.3.PDF
 
Thread 'Derivation of equations of stress tensor transformation'
Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...

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