Анықтауыштар
Анықтауыш ұғымы тек квадраттық матрица үшін келтіріледі.
– сандық матрица болсын.
А матрицасының анықтауышы (детерминант)– это число, которое ставится в соответствие данной матрице и обозначается так:
![](data:image/png;base64,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) немесе det A, немесе
Достарыңызбен бөлісу: |