fibonacci_sequence
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fibonacci_sequence [2023/07/26 15:09] – [Eigen vectors of A] raju | fibonacci_sequence [2023/08/05 11:05] (current) – [References] raju | ||
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\left( \lambda_1, \lambda_2 \right) = \left( \frac{1+\sqrt{5}}{2}, | \left( \lambda_1, \lambda_2 \right) = \left( \frac{1+\sqrt{5}}{2}, | ||
$$ | $$ | ||
+ | Also, note | ||
+ | $$ \lambda_1 - \lambda_2 = \sqrt{5} $$ | ||
==== Eigen vectors of A ==== | ==== Eigen vectors of A ==== | ||
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So both equations simplify to | So both equations simplify to | ||
$$ x_1 = \lambda x_2$$ | $$ x_1 = \lambda x_2$$ | ||
+ | |||
+ | which gives the eigen vector matrix as | ||
+ | $$ | ||
+ | \Lambda = | ||
+ | \begin{bmatrix} | ||
+ | \lambda_1 & \lambda_2 \\ | ||
+ | 1 & 1 | ||
+ | \end{bmatrix} | ||
+ | $$ | ||
+ | |||
+ | |||
+ | ==== References ==== | ||
+ | * https:// | ||
+ | * https:// | ||
+ | * https:// | ||
+ | * https:// | ||
+ | * https:// | ||
+ | * tags | big parentheses | ||
fibonacci_sequence.1690384151.txt.gz · Last modified: 2023/07/26 15:09 by raju