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Консультация № 198034
24.03.2020, 21:10
0.00 руб.
29.03.2020, 04:59
0
2
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
1. Для определителя
найти алгебраическое дополнение элемента a24.
1. Для определителя
найти алгебраическое дополнение элемента a24.
Обсуждение
24.03.2020, 21:11
общий
2 -3 4 1
1. Для определителя Δ= 4 -2 3 2 найти алгебраическое дополнение элемента a24
3 0 2 1
3 -1 4 3
1. Для определителя Δ= 4 -2 3 2 найти алгебраическое дополнение элемента a24
3 0 2 1
3 -1 4 3
29.03.2020, 05:13
общий
это ответ
Здравствуйте, master87!
Чтобы найти алгебраическое дополнение A[sub]ij[/sub] элемента a[sub]ij[/sub] некоторого определителя n-го порядка, необходимо вычеркнуть из него i-ю строку и j-й столбец, найти получившийся определитель (n-1)-го порядка и умножить его на (-1)[sup]i+j[/sup] (другими словами, сменить знак, если сумма номеров вычеркнутых строки и столбца нечётна).
В данном случае вычёркиваем вторую строку и четвёртый столбец и вычисляем определитель третьего порядка (с учётом возможной смены знака):
Чтобы найти алгебраическое дополнение A[sub]ij[/sub] элемента a[sub]ij[/sub] некоторого определителя n-го порядка, необходимо вычеркнуть из него i-ю строку и j-й столбец, найти получившийся определитель (n-1)-го порядка и умножить его на (-1)[sup]i+j[/sup] (другими словами, сменить знак, если сумма номеров вычеркнутых строки и столбца нечётна).
В данном случае вычёркиваем вторую строку и четвёртый столбец и вычисляем определитель третьего порядка (с учётом возможной смены знака):
5
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