MATRIX("EXCHANGE",order)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle order} is the order of the Exchange matrix.
Description
- This function gives the exchange matrix of order 3.
- The exchange matrix is the square matrix of a permutation matrix.
- In this matrix the 1 elements reside on the counterdiagonal and all other elements are zero.
- It is a 'row-reversed' or 'column-reversed' version of the identity matrix.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle J_{i,j}=\begin{cases} 1, j=n-i+1 \\ 0, j\neq n-i+1 \\ \end{cases}} .
- It is also called the reversal matrix,backward identity, or standard involutory permutation.
- The form of exchange matrices are J2=();J3=(); and so on.