Difference between revisions of "Manuals/calci/DIAGONALWITH"

Revision as of 08:51, 10 January 2018

DIAGONALWITH(Matrix,Properties,Seed,Offset,FillTypeAntiColumnOrRow)

This function gives the matrix satisfying the diagonal properties.
An diagonal matrix is a matrix where all the entries are zero on the main diagonal going from the upper left corner to the lower right corner ( $\searrow$ ).
In Diagonalwith, all the elements on main diagonal are filled with the given Properties rather than by 0.
A diagonal matrix is a square matrix which is of the form $a_{ij}=c_{i}\delta _{ij}$ where $\delta _{ij}$ is the Kronecker delta, $c_{i}$ are constants, and i,j=1, 2, ..., n.

${\begin{bmatrix}c_{1}&0&\cdots &0\\0&c_{2}&\cdots &0\\\vdots &\vdots &\ddots &\vdots \\0&0&\cdots &c_{n}\end{bmatrix}}$

So the main diagonal entries are need not to be zero and off-diagonal entries are zero.

@@ Line 5: / Line 5: @@
 ==Description==
 *This function gives the matrix satisfying the diagonal properties.
-*An diagonal matrix is a matrix where all the entries are zero on the main diagonal going from the upper left corner to the lower right corner (<math>\nearrow</math>).
+*An diagonal matrix is a matrix where all the entries are zero on the main diagonal going from the upper left corner to the lower right corner (<math>\searrow</math>).
 *In Diagonalwith, all the elements on main diagonal are filled with the given Properties rather than by 0.
 *A diagonal matrix is a square matrix which is of the form <math>a_{ij}=c_{i} \delta_{ij}</math> where <math>\delta_{ij}</math> is the Kronecker delta, <math>c_{i}</math> are constants, and i,j=1, 2, ..., n.