What does doubly stochastic matrix mean?
Definitions for doubly stochastic matrix
dou·b·ly sto·chas·tic ma·trix
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Wikipedia
Doubly stochastic matrix
In mathematics, especially in probability and combinatorics, a doubly stochastic matrix (also called bistochastic matrix), is a square matrix A = ( a i j ) {\displaystyle A=(a_{ij})} of nonnegative real numbers, each of whose rows and columns sums to 1, i.e., ∑ i a i j = ∑ j a i j = 1 {\displaystyle \sum _{i}a_{ij}=\sum _{j}a_{ij}=1} ,Thus, a doubly stochastic matrix is both left stochastic and right stochastic.Indeed, any matrix that is both left and right stochastic must be square: if every row sums to one then the sum of all entries in the matrix must be equal to the number of rows, and since the same holds for columns, the number of rows and columns must be equal.
Numerology
Chaldean Numerology
The numerical value of doubly stochastic matrix in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of doubly stochastic matrix in Pythagorean Numerology is: 2
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"doubly stochastic matrix." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/doubly+stochastic+matrix>.
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