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>A_{i,j}</math>,where i=j.
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*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>A_{1,1},A_{2,2},A_{3,3}</math> and so on.
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*Diagonal entries are <math>a_{11},a_{22},a_{33}</math> and so on.
  
 
==Examples==
 
==Examples==
1. MATRIXDIAGONAL([[14,12],[13,15]]) = 14  15
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# MATRIXDIAGONAL([[14,12],[13,15]]) = 14  15
2. MATRIXDIAGONAL([[1,2,3],[4,5,6],[9,8,6]]) = 1 5 6
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# 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
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# MATRIXDIAGONAL([[5,8,12,13],[4,3,2,8],[7,2,5,3],[3,5,9,11]]) = 5 3 5 11
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==Related Videos==
 +
 
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{{#ev:youtube|v=Wc9DwLLXP8k|280|center|Diagonal Matrix}}
  
 
==See Also==
 
==See Also==

Latest revision as of 13:18, 9 April 2019

MATRIXDIAGONAL (a)


  • 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.

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

Related Videos

Diagonal Matrix

See Also

References