Diagonal Representation of Certain Matrices
YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
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An explicit expression is provided for the characteristic polynomial of a matrix M of the form M D - 0 over baT abT over 0, where D is a diagonal matrix, and a and b are column vectors. Also, an explicit expression is provided for the matrix of normalized eigenvectors of M, in terms of the roots of the characteristic polynomial i.e., in terms of the eigenvalues of M.
- Numerical Mathematics
- Theoretical Mathematics