Let A = [ 3    5     7
              5    11    4
              7     4     1] , write A’ and state whether A is symmetric or skew symmetric matrix

Dear Student,

Consider the following matrix:      A=3575114741The Transpose of a matrix A=aijm×n then  A'=ajim×nTherefore we have,      A'=3575114741Here we noticed that A'=AAlso, by definition, a square matrix A is said to be symmetric if A'=ATherefore, the given matrix A is symmetric matirx.

Regards

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A' = [ 3     5     7
          5     11    4         (for finding transpose just exchange rows and columns)
         7      4     1]     
since, A'=A
therefore A is a symmetric matrix.
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