Difference between revisions of "Template:Important topics"

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[[File:Matrixinversion.png|100px]]
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[[File:Verctorpartition.png|100px]]
 
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'''[[Matrix inversion]]'''<br>
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'''[[Vector algebra]]'''<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.  
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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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[[File:Verctorpartition.png|100px]]
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[[File:Matrixinversion.png|100px]]
 
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'''[[Vector algebra]]'''<br>
+
'''[[Matrix inversion]]'''<br>
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.
+
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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Revision as of 10:32, 14 May 2014

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.

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.