How do we get symmetric matrix ?


by Kardi Teknomo

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Symmetric Matrix using Excel

Suppose we have a integer matrix Microsoft Excel Tutorials on Symmetric Matrix , to get symmetric matrix Microsoft Excel Tutorials on Symmetric Matrix from Microsoft Excel Tutorials on Symmetric Matrix , we multiply matrix Microsoft Excel Tutorials on Symmetric Matrix by its transpose: Microsoft Excel Tutorials on Symmetric Matrix or Microsoft Excel Tutorials on Symmetric Matrix . Here is how to do it in Excel. You may download the spreadsheet example here

symetric matrix using excel

  1. Type any matrix 3 by 3. Suppose our matrix is like this figure on the right
  2. Note that optionally you can give name to the matrix using menu Insert-Name-Define matrix_N , then press OK button.
  3. In other cell, type =TRANSPOSE( matrix_N ), where the array is the 3 by 3 matrix N. Then press enter key.
  4. Don't worry about the result yet. Starting from the cell with Transpose formula, highlight 3 by 3 cells. Press F2, and it will be appear like the following figure Microsoft Excel Tutorials on Symmetric Matrix . Then press CTRL-SHIFT-ENTER together. You get the transpose matrix Microsoft Excel Tutorials on Symmetric Matrix . Optionally you may give name matrix_N1 to the transpose matrix by using procedure in step 2 above.
  5. Now you can get the symmetric matrix by multiplying multiply matrix Microsoft Excel Tutorials on Symmetric Matrix by its transpose. In a new empty cell type = MMULT(matrix_N1, matrix_N) and then press enter key.
  6. Starting with the cell with MMult formula, highlight 3 by 3 cells. Press F2, and it will be appear like the following figure Microsoft Excel Tutorials on Symmetric Matrix Then press CTRL-SHIFT-ENTER together you get the symmetric matrix Microsoft Excel Tutorials on Symmetric Matrix as shown in the figure below

Microsoft Excel Tutorials on Symmetric Matrix

The spreadsheet example of this tutorial can be downloaded here .

See also:
Goal Seek Tutorial , MS Excel Tutorial index , Kardi Teknomo's Tutorial , Interactive program on Symmetric Matrix

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Preferable reference for this tutorial is

Teknomo, Kardi (2015) How do we get symmetric matrix ?. https:\\people.revoledu.com\kardi\ tutorial\Excel\SymmetricMatrix.html