by Sidney H. Kung
This article originally appeared in:
College Mathematics Journal
March, 2011
Subject classification(s):
Algebra and Number Theory | Linear Algebra | Eigenvalues and EigenvectorsApplicable Course(s):
3.8 Linear/Matrix AlgebraUsing two well known criteria for the diagonalizability of a square matrix plus an extended form of Sylvester's Rank Inequality, the author presents a new condition for the diagonalization of a real matrix from which one can obtain the eigenvectors by simply multiplying some associated matrices without solving a linear system of simultaneous equations.
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Capsule Course Topic(s):
Linear Algebra | Eigenvalues and Eigenvectors