Aljabar Linear Contoh

Tentukan Inversnya [[0,0,0,1],[1,0,1,1],[1,1,1,1],[0,0,0,1]]
Langkah 1
Find the determinant.
Ketuk untuk lebih banyak langkah...
Langkah 1.1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in row by its cofactor and add.
Ketuk untuk lebih banyak langkah...
Langkah 1.1.1
Consider the corresponding sign chart.
Langkah 1.1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
Langkah 1.1.3
The minor for is the determinant with row and column deleted.
Langkah 1.1.4
Multiply element by its cofactor.
Langkah 1.1.5
The minor for is the determinant with row and column deleted.
Langkah 1.1.6
Multiply element by its cofactor.
Langkah 1.1.7
The minor for is the determinant with row and column deleted.
Langkah 1.1.8
Multiply element by its cofactor.
Langkah 1.1.9
The minor for is the determinant with row and column deleted.
Langkah 1.1.10
Multiply element by its cofactor.
Langkah 1.1.11
Add the terms together.
Langkah 1.2
Kalikan dengan .
Langkah 1.3
Kalikan dengan .
Langkah 1.4
Kalikan dengan .
Langkah 1.5
Evaluasi .
Ketuk untuk lebih banyak langkah...
Langkah 1.5.1
Choose the row or column with the most elements. If there are no elements choose any row or column. Multiply every element in row by its cofactor and add.
Ketuk untuk lebih banyak langkah...
Langkah 1.5.1.1
Consider the corresponding sign chart.
Langkah 1.5.1.2
The cofactor is the minor with the sign changed if the indices match a position on the sign chart.
Langkah 1.5.1.3
The minor for is the determinant with row and column deleted.
Langkah 1.5.1.4
Multiply element by its cofactor.
Langkah 1.5.1.5
The minor for is the determinant with row and column deleted.
Langkah 1.5.1.6
Multiply element by its cofactor.
Langkah 1.5.1.7
The minor for is the determinant with row and column deleted.
Langkah 1.5.1.8
Multiply element by its cofactor.
Langkah 1.5.1.9
Add the terms together.
Langkah 1.5.2
Kalikan dengan .
Langkah 1.5.3
Kalikan dengan .
Langkah 1.5.4
Kalikan dengan .
Langkah 1.5.5
Sederhanakan determinannya.
Ketuk untuk lebih banyak langkah...
Langkah 1.5.5.1
Tambahkan dan .
Langkah 1.5.5.2
Tambahkan dan .
Langkah 1.6
Sederhanakan determinannya.
Ketuk untuk lebih banyak langkah...
Langkah 1.6.1
Tambahkan dan .
Langkah 1.6.2
Tambahkan dan .
Langkah 1.6.3
Kurangi dengan .
Langkah 2
There is no inverse because the determinant is .