Metzler matrix - meaning and definition. What is Metzler matrix
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What (who) is Metzler matrix - definition


Metzler matrix         
MATRIX IN WHICH THE OFF-DIAGONAL VALUES ARE NONNEGATIVE
Quasipositive matrix
In mathematics, a Metzler matrix is a matrix in which all the off-diagonal components are nonnegative (equal to or greater than zero):
MATRIX MATH         
  • The vectors represented by a 2-by-2 matrix correspond to the sides of a unit square transformed into a parallelogram.
  • orientation]], since it turns the counterclockwise orientation of the vectors to a clockwise one.
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  • An example of a matrix in Jordan normal form. The grey blocks are called Jordan blocks.
  • An undirected graph with adjacency matrix:
<math display="block">\begin{bmatrix}
1 & 1 & 0 \\
1 & 0 & 1 \\
0 & 1 & 0
\end{bmatrix}.</math>
  • Two different Markov chains. The chart depicts the number of particles (of a total of 1000) in state "2". Both limiting values can be determined from the transition matrices, which are given by <math>
\begin{bmatrix}
 0.7 & 0\\
 0.3 & 1
\end{bmatrix}</math> (red) and <math>
\begin{bmatrix}
 0.7 & 0.2\\
 0.3 & 0.8
\end{bmatrix}</math> (black).
  • Schematic depiction of the matrix product '''AB''' of two matrices '''A''' and '''B'''.
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  • indefinite]].
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RECTANGULAR ARRAY OF NUMBERS, SYMBOLS, OR EXPRESSIONS, ARRANGED IN ROWS AND COLUMNS
Matrix (Mathematics); Matrix (math); Submatrix; Matrix theory; Matrix (maths); Submatrices; Matrix Theory and Linear Algebra; Infinite matrix; Square (matrix); Matrix operation; Square submatrix; Matrix(mathematics); Real matrix; Matrix math; Matrix index; Equal matrix; Matrix equation; Matrix (computer science); Matrix notation; Empty matrix; Real matrices; Principal submatrix; Array (mathematics); Matrix power; Complex matrix; Complex matrices; Applications of matrices; Rectangular matrix; Uniform matrix
<language> An early system on the UNIVAC I or II. [Listed in CACM 2(5):1959-05-16]. (1997-02-27)
Logical matrix         
  • Multiplication of two logical matrices using [[boolean algebra]].
MATRIX WITH ENTRIES FROM THE BOOLEAN DOMAIN B = {0, 1}
Binary matrix; (0,1) matrix; (0,1)-matrix; (0,1)-matrices; 0,1-matrix; 0-1 matrix; Matrix logic; Zero-One matrix; Logical vector; Logical matrices
A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1) matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets.