Manuals/calci/ANTIDIAGONALWITH
ANTIDIAGONALWITH()
- Parameter can be any Matrix.
Description
- This function gives the matrix satisfying the anti diagonal properties also it is replacing the constant given number in the anti diagonal entries.
- An anti-diagonal matrix is a matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner (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 \nearrow} ), known as the anti-diagonal.
- The properties of anti diagonal matrix are:
- 1.The product of two anti-diagonal matrices is a diagonal matrix.
- 2. If A and D are n×n anti-diagonal and diagonal matrices, respectively, then AD,DA are anti-diagonal.
- 3.All anti-diagonal matrices are also persymmetric.
Examples
- ANTIDIAGONALWITH([[1,2],[3,4]],34)
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 \begin{matrix} 1 & 34 \\ 34 & 4 \end{matrix} }
- ANTIDIAGONALWITH([[6,12,10,16],[13,14,15,17],[5,13,19,20],[3,24,33,43]],-22)
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 \begin{matrix} 6 & 12 & 10 & -22 \\ 13 & 14 & -22 & 17 \\ 5 & -22 & 19 &20 \\ -22 & 24 & 33 &43 \end{matrix} }
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