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3.3 Eigenvalues and Diagonalization

3.3 Eigenvalues and Diagonalization. Definitions. A is n x n. ? is an eigenvalue of A if AX = ?X has non zero solutions X (called eigenvectors ) If ? is an eigenvalue of A, the set E ? = E ? (A) = {X | X in ? n , AX = ?X} is a vector space called the eigenspace associated w/ ?

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6.1 Eigenvalues and Diagonalization

6.1 Eigenvalues and Diagonalization. Definitions. A is n x n. ? is an eigenvalue of A if AX = ?X has non zero solutions X (called eigenvectors ) If ? is an eigenvalue of A, the set E ? = E ? (A) = {X | X in ? n , AX = ?X} is a vector space called the eigenspace associated w/ ?

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3.3 Eigenvalues and Diagonalization

6.1 Eigenvalues and Diagonalization