Difference between revisions of "Manuals/calci/MATRIXDIAGONALPRODUCT"

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(Created page with "<div style="font-size:30px">'''MATRIXDIAGONALPRODUCT (a)'''</div><br/> *<math> a </math> is any square matrix. ==Description== *This function shows the product value of the m...")
 
 
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*Here it is calculating the product of the main diagonal values.
 
*Here it is calculating the product of the main diagonal values.
 
*So it is calculating  <math>a_{11}*a_{22}*a_{33}</math> and so on.
 
*So it is calculating  <math>a_{11}*a_{22}*a_{33}</math> and so on.
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==Examples==
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# MATRIXDIAGONALPRODUCT([[5,8,12,13],[4,3,2,8],[7,2,5,3],[3,5,9,11]]) = 825
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# MATRIXDIAGONALPRODUCT([[1,2,3],[4,5,6],[9,8,6]]) = 30
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# MATRIXDIAGONALPRODUCT([[14,12],[13,15]]) = 210
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==Related Videos==
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{{#ev:youtube|v=vzt9c7iWPxs|280|center|Matrix Multiplication}}
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==See Also==
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*[[Manuals/calci/PRODUCT| PRODUCT]]
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*[[Manuals/calci/ANTIDIAGONAL| ANTIDIAGONAL]]
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*[[Manuals/calci/DIAGONALMATRIX| DIAGONALMATRIX ]]
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==References==
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*[https://en.wikipedia.org/wiki/Main_diagonal  Main diagonal]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 14:49, 12 April 2019

MATRIXDIAGONALPRODUCT (a)


  • is any square matrix.

Description

  • This function shows the product value of 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 of a matrix A is defined by A is the collection of entries ,where i=j.
  • So diagonal entries are and so on.
  • Here it is calculating the product of the main diagonal values.
  • So it is calculating and so on.

Examples

  1. MATRIXDIAGONALPRODUCT([[5,8,12,13],[4,3,2,8],[7,2,5,3],[3,5,9,11]]) = 825
  2. MATRIXDIAGONALPRODUCT([[1,2,3],[4,5,6],[9,8,6]]) = 30
  3. MATRIXDIAGONALPRODUCT([[14,12],[13,15]]) = 210


Related Videos

Matrix Multiplication

See Also

References