Unformatted text preview: means that its determinant is zero. The eigenvalues are then solutions of the equation ) ~ det( 2 1 2 22 21 1 12 11 = − − − = − nn n n n n T T T T T T T T T I T L M M M M L L . Example: The eigenvalues of the 2×2 matrix − 2 1 2 1 come from solving the equation 2 1 2 1 = − − − . Thus, ) )( ( 2 1 2 1 = − − − and two eigenvalues are λ = +1/2 and λ = 1/2. Example: The eigenvalues of the 3×3 matrix − i i come from solving the equation = − − − − i i . Thus, λ ( λ 21)=0 and the three eigenvalues are λ = +1, λ = 0, and λ = 1....
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 Spring '07
 FIELDS
 Linear Algebra, mechanics, Matrices, Invertible matrix, Identity matrix, eigenvalue equation

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