Zur Vertiefung:
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In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e. if there exists an invertible matrix P such that P(-1)AP is a diagonal matrix. If V is a finite-dimensional vector space, then a linear map T : V -> V is called diagonalizable if there exists a basis of V with respect to which T is represented by a diagonal matrix. Diagonalization is the process of finding a corresponding diagonal matrix for a diagonalizable matrix or linear map.
Diagonalizable matrices and maps are of interest because diagonal matrices are especially easy to handle: their eigenvalues and eigenvectors are known and one can raise a diagonal matrix to a power by simply raising the diagonal entries to that same power.
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;-)
Zwei AnSichten 20/01/2007 20:46
Gerontolon Müllhaupt 20/01/2007 19:12
Der Metaknipserin 20/01/2007 17:30
Zur Vertiefung:--------------------------------------------------------------------------------
In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e. if there exists an invertible matrix P such that P(-1)AP is a diagonal matrix. If V is a finite-dimensional vector space, then a linear map T : V -> V is called diagonalizable if there exists a basis of V with respect to which T is represented by a diagonal matrix. Diagonalization is the process of finding a corresponding diagonal matrix for a diagonalizable matrix or linear map.
Diagonalizable matrices and maps are of interest because diagonal matrices are especially easy to handle: their eigenvalues and eigenvectors are known and one can raise a diagonal matrix to a power by simply raising the diagonal entries to that same power.
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;-)
Zwei AnSichten 20/01/2007 17:05
Gerontolon Müllhaupt 20/01/2007 7:49
Die siebente Werbepause des Weltuntergangs 18/01/2007 12:02
Ist mir eine Erre, die Hehrschaften.A. C. d. C. 12/01/2007 10:21
Gerontolon Müllhaupt 11/01/2007 22:53
hier entbindet die Diagonale auf halbem Weg eine zweite:
hier hat die Diagonale einen schweren Durchhänger:
noch ne Diagonale die durchhängt und es nicht ganz bis in die Ecken schafft:
hier passt alles:
Thomas Heuer 31/12/2006 0:43
Schöne Diagonale:(-;
Gerontolon Müllhaupt 19/12/2006 9:55
Die siebente Werbepause des Weltuntergangs 18/12/2006 19:38
Die siebente Werbepause des Weltuntergangs 14/12/2006 14:17
Hohe Diagonalphilosophie:Die siebente Werbepause des Weltuntergangs 14/12/2006 12:14
Diagonale im Fohting:Gerontolon Müllhaupt 13/12/2006 18:26
Die siebente Werbepause des Weltuntergangs 13/12/2006 15:31