Hi, trying to use Mathematica to produce a basis for each eigenspace of a matrix A. If I run the command
Eigensystem[[A]
Will this always produce the eigenspaces and their basis?
For example,
Eigensystem[{{7, 3}, {3, -1}}]
produces
{{8, -2}, {{3, 1}, {-1, 3}}}
From what I understand, 8 is an eigenspace with the basis {3,1} and -2 is an eigenspace with the basis {-1,3}. Is this true?
