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Polish: diagonalizacja formy kwadratowej

English translation: diagonalization of quadratic form



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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Polish term or phrase:diagonalizacja formy kwadratowej
English translation:diagonalization of quadratic form
Entered by:Lota
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10:49pm Aug 4, 2005Login or register (free) for more options.
Polish to English translations [PRO]
Science - Mathematics & Statistics
Polish term or phrase: diagonalizacja formy kwadratowej
algebra
Lota
United States
diagonalization of quadratic form
Explanation:
http://planetmath.org/encyclopedia/DiagonalizationOfQuadrati...
http://www.maths.lse.ac.uk/Courses/MA207/fqmso.pdf
http://www.math.uga.edu/~chadm/quadratic.pdf
http://math.berkeley.edu/~eep/274/diag.pdf
Selected response from:

M_M
Poland
Note from asker to answerer
4 KudoZ points were awarded for this answer



Summary of answers provided
5Square matrix diagonalization
Kris Nowicki
4diagonalization of quadratic formM_M


  

Answers

20 mins   confidence: Answerer confidence 5/5
Square matrix diagonalization

Explanation:
Matrix diagonalization is the process of taking a square matrix and converting it into a special type of matrix--a so-called diagonal matrix--that shares the same fundamental properties of the underlying matrix. Matrix diagonalization is equivalent to transforming the underlying system of equations into a special set of coordinate axes in which the matrix takes this canonical form. Diagonalizing a matrix is also equivalent to finding the matrix's eigenvalues, which turn out to be precisely the entries of the diagonalized matrix. Similarly, the eigenvectors make up the new set of axes corresponding to the diagonal matrix.

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Note added at 22 mins (2005-08-04 23:11:55 GMT)
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LUB Diagonalization of square matrix (nawet chyba przejrzyƛciej)

http://ndp.jct.ac.il/tutorials/alg-tut/node44.html


    Reference: http://mathworld.wolfram.com/MatrixDiagonalization.html
Kris Nowicki
Poland
Native speaker of: Native in PolishPolish, Native in HebrewHebrew
PRO pts in category: 12
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