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Fixed another small typo in linalg
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doctor-phil authored Oct 18, 2022
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4 changes: 2 additions & 2 deletions lectures/scientific/applied_linalg.md
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Expand Up @@ -704,8 +704,8 @@ plot_simulation(x0, A, 5000)

The convergence of this system is a property determined by the matrix $A$.

The long-run distribution of employed and unemployed workers is equal to the largest [eigenvector](https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors)
of $A'$, corresponding to the eigenvalue equal to 1. An eigenvalue of $A'$ is also known as a "left-eigenvector" of A.
The long-run distribution of employed and unemployed workers is equal to the [eigenvector](https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors)
of $A'$ that corresponds with the eigenvalue equal to 1. (An eigenvector of $A'$ is also known as a "left-eigenvector" of $A$.)

Let's have numpy compute the eigenvalues and eigenvectors and compare the results to our simulated results above:

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