Eigenvalues and Eigenvectors
Recall that an n × n matrix B is similar to an n × n matrix A if there is an invertible n × n matrix P such that B = P −1 AP. Our objective now is to determine under what conditions an n × n matrix is similar to a diagonal matrix. In so doing we shall draw together all of the notions that have been previously developed. Unless otherwise specified, A will denote an n × n matrix over ℝ or ℂ.
KeywordsDiagonal Matrix Characteristic Polynomial Invertible Matrix Distinct Eigenvalue Fibonacci Sequence
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