Difference between revisions of "Manuals/calci/MATRIXDIAGONAL"
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(Created page with "<div style="font-size:30px">'''MATRIXDIAGONAL (a)'''</div><br/> *<math> a </math> is any square matrix. ==Description== *This function shows the main diagonal values. *In <ma...") |
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*The main diagonal of a matrix consists of those elements that lie on the diagonal that runs from top left to bottom right. | *The main diagonal of a matrix consists of those elements that lie on the diagonal that runs from top left to bottom right. | ||
*Main diagonal is also called principal diagonal, primary diagonal, leading diagonal, or major diagonal. | *Main diagonal is also called principal diagonal, primary diagonal, leading diagonal, or major diagonal. | ||
| − | *So main diagonal of a matrix A is defined by A is the collection of entries <math> | + | *So main diagonal of a matrix A is defined by A is the collection of entries <math>a_{i,j}</math>,where i=j. |
| − | *Diagonal entries are <math> | + | *Diagonal entries are <math>a_{11},a_{22},a_{33}</math> and so on. |
==Examples== | ==Examples== | ||
Revision as of 16:28, 13 June 2017
MATRIXDIAGONAL (a)
- is any square matrix.
is any square matrix.Description
- This function shows the main diagonal values.
- In , is any square matrix.
- The main diagonal of a matrix consists of those elements that lie on the diagonal that runs from top left to bottom right.
- Main diagonal is also called principal diagonal, primary diagonal, leading diagonal, or major diagonal.
- So main diagonal of a matrix A is defined by A is the collection of entries ,where i=j.
- Diagonal entries are and so on.
, 
,where i=j.
and so on.Examples
1. MATRIXDIAGONAL([[14,12],[13,15]]) = 14 15 2. MATRIXDIAGONAL([[1,2,3],[4,5,6],[9,8,6]]) = 1 5 6 3. MATRIXDIAGONAL([[5,8,12,13],[4,3,2,8],[7,2,5,3],[3,5,9,11]]) = 5 3 5 11