A probability transition matrix is square matrix where the sum of each row adds to one. One example would be 4-[;44 Show that A = lis an eigenvalue of this matrix and find the corresponding eigenvector:
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To do this, we solve the characteristic equation: |A - λI| = 0 where I is the identity matrix and λ is the eigenvalue we are trying to find. In this case, we have: |4 - λ 1 1| |1 4 - λ 1| |1 1 4 - λ| = 0 Expanding the determinant, we get: (4 - λ)[(4 Show more…
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