The transpose of a matrix A is the matrix AT obtained by switching rows and colu

Question

The transpose of a matrix A is the matrix AT obtained by switching rows and columns. For example, if A = then A matrix A is symmetric if A = AT, i.e., it equals its transpose. A matrix A is skew-symmetric if A = -AT, i.e., it is the negative of its transpose. Find a basis (and dimension) for each of these subspaces of 3 Times 3 matrices. You do not need to prove that these actually are subspaces. You should give some explanation of why you think your bases actually are bases, but don't need to go through all of the details of checking.

Explanation / Answer

IN GENERAL A 3 X 3 MATRIX HAS 9 ELEMENTS SO NO.OF FREE ELEMENTS = 9

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