Difference between revisions of "Template:Important topics"

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'''[[Matrix inversion]]'''<br>
 
'''[[Matrix inversion]]'''<br>
 
After describing the preconditions for the existence of an inverse and its definition, the [[Minors and cofactors|minors and cofactors]] of a matrix are explained. Based on these an example formula to compute the [[Determinant of a 4-by-4 matrix|determinant of a 4-by-4 matrix]] is presented. Conclusively two procedures to determine the inverse of a matrix, the [[Gauß-Jordan-Algorithm]] and the [[Adjugate Formula]], are introduced and clarified by examples.  
 
After describing the preconditions for the existence of an inverse and its definition, the [[Minors and cofactors|minors and cofactors]] of a matrix are explained. Based on these an example formula to compute the [[Determinant of a 4-by-4 matrix|determinant of a 4-by-4 matrix]] is presented. Conclusively two procedures to determine the inverse of a matrix, the [[Gauß-Jordan-Algorithm]] and the [[Adjugate Formula]], are introduced and clarified by examples.  
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[[File:Verctorpartition.png|100px]]
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'''[[Vector algebra]]'''<br>
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This article gives a brief explanation of vectors and vector algebra. After a short introduction to vector algebra [[Unit vectors|unit vectors]] and [[Simple arithmetic operations|simple arithmetic operations]] are presented. Afterwards the [[Dot product|dot product]] and the [[Cross product|cross product]] are briefly explained.
 
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Revision as of 10:22, 14 May 2014

Matrixinversion.png

Matrix inversion
After describing the preconditions for the existence of an inverse and its definition, the minors and cofactors of a matrix are explained. Based on these an example formula to compute the determinant of a 4-by-4 matrix is presented. Conclusively two procedures to determine the inverse of a matrix, the Gauß-Jordan-Algorithm and the Adjugate Formula, are introduced and clarified by examples.

Verctorpartition.png

Vector algebra
This article gives a brief explanation of vectors and vector algebra. After a short introduction to vector algebra unit vectors and simple arithmetic operations are presented. Afterwards the dot product and the cross product are briefly explained.