Difference between revisions of "Template:Important topics"

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'''[[Matrices]]'''<br>
 
'''[[Matrices]]'''<br>
This article gives a brief explanation of matrices and basic arithmetic algebra. After a brief introduction [[Multiplication with a scalar|multiplication with a scalar]] and computing the [[The transpose of a matrix|transpose]] is described. Conclusively the approaches for [[Addition of matrices|addition]] and [[Multiplication of matrices|multiplication]] of matrices to each other are presented.
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This article gives a brief explanation of matrices and basic arithmetic algebra. After a brief introduction [[Multiplication with a scalar|multiplication with a scalar]] and computing the [[The transpose of a matrix|transpose]] is described. Then the approaches for [[Addition of matrices|addition]] and [[Multiplication of matrices|multiplication]] of matrices to each other are presented. Conclusively the [[Minors and cofactors|minors and cofactors]] and the [[Determinant of a 4-by-4 matrix|determinant]] of a matrix are described.
 
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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.  
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After describing the preconditions for the existence of an inverse and its definition, 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 15:46, 19 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.

Matrices.png

Matrices
This article gives a brief explanation of matrices and basic arithmetic algebra. After a brief introduction multiplication with a scalar and computing the transpose is described. Then the approaches for addition and multiplication of matrices to each other are presented. Conclusively the minors and cofactors and the determinant of a matrix are described.

Matrixinversion.png

Matrix inversion
After describing the preconditions for the existence of an inverse and its definition, two procedures to determine the inverse of a matrix, the Gauß-Jordan-Algorithm and the Adjugate Formula, are introduced and clarified by examples.