Wikipedia, Entziklopedia askea
matematikan, matrize bisimetrikoa matrize karratu bat da, bere bi diagonal nagusiekiko simetriko dena. Hain zuzen ere, A n × n dimentsioko matrize bat bisimetrikoa da baldin eta soilik A = AT eta AJ = JA bada, non J n × n trukatze-matrizea den.
Honelako itxura dute:
![{\displaystyle {\begin{pmatrix}a&b&c&d&e\\b&f&g&h&d\\c&g&i&g&c\\d&h&g&f&b\\e&d&c&b&a\end{pmatrix}}}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9DoAw3atrDztaOngePnDK0ajzFati4aDK1zqiQaje5zDvFoAvCoNGQ)
Adibidea:
![{\displaystyle {\begin{pmatrix}1&2&4&5\\2&8&0&4\\4&0&8&2\\5&4&2&1\\\end{pmatrix}}}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO85oAs0otePytnDzjBAzjCNz2w4zjlAoDvCzqhCotw3aNK0nqoPnAwN)
![{\displaystyle {\begin{pmatrix}1&\color {Blue}{2}&\color {Blue}{4}&\color {Blue}{5}\\\color {Blue}{2}&8&\color {Blue}{0}&\color {Blue}{4}\\\color {Blue}{4}&\color {Blue}{0}&8&\color {Blue}{2}\\\color {Blue}{5}&\color {Blue}{4}&\color {Blue}{2}&1\\\end{pmatrix}},\quad {\begin{pmatrix}\color {Blue}{1}&\color {Blue}{2}&\color {Blue}{4}&5\\\color {Blue}{2}&\color {Blue}{8}&0&\color {Blue}{4}\\\color {Blue}{4}&0&\color {Blue}{8}&\color {Blue}{2}\\5&\color {Blue}{4}&\color {Blue}{2}&\color {Blue}{1}\\\end{pmatrix}}}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9DygzCyqeNoNC3nDJAaAhDnDw4ajJBotwPzAhCntdDzDrAato1yjs3)
Matrize bisimetrikoak simetrikoak, zentrosimetrikoak eta persimetrikoak dira.
Bi matrize bisimetrikoen biderkadura matrize zentrosimetriko bat da.