Eigenbasis / Eigenspace September 13, 2018 less than 1 minute read Given a eigenvalue λ of matrix A, the null space (kernel) of A−λI is called the eigenspace of A associated with λ. In another way, eigenspace Eλ;A={v∣(A−λI)v=0} is the set of all eigenvectors associated with λ plus zero vector. If all the eigenvectors of An×n can form a basis of Rn, they are called an eigenbasis of Rn. So eigenbasis is not a basis of eigenspace. Share on X Facebook LinkedIn Bluesky Previous Next Comments
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