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  "body": "\n## Summary\n\nA nonnegative matrix is a real matrix whose entries are all greater than or equal to zero.\nTransition matrices of [[Markov chains|0G48PYM96Q]], adjacency matrices of graphs and input-output tables in economics are nonnegative.\nThe [[Perron–Frobenius theorem|62NS7PV1M9]] describes the largest eigenvalue of such a matrix and its eigenvector.\n\n## Explanations\n\n### L1 human\n\nA nonnegative matrix is a table of numbers with no negative entry.\nSuch tables often count things or give probabilities, and these are never negative.\nFor example, $\\begin{pmatrix} 0 \u0026 2 \\\\ 1 \u0026 3 \\end{pmatrix}$ is nonnegative, while $\\begin{pmatrix} 1 \u0026 -1 \\\\ 0 \u0026 1 \\end{pmatrix}$ is not.\nDo not confuse this with a positive semidefinite matrix: the condition is on the entries, not on the eigenvalues.\n",
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