Practice question · True or false
In the decomposition , the columns of are the eigenvectors of .
Hints
- Each column of the transforming matrix corresponds to one diagonal entry.
- The pairing encodes the defining eigen-equation.
Show the answer
True
Why
Each column of is an eigenvector; the corresponding diagonal entry of is its eigenvalue. The decomposition encodes for all eigenvectors simultaneously.
Practise Matrix Diagonalisation
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More questions on Matrix Diagonalisation
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