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inverser (
1
2
3
4
5
6
7
8
3
2
3
2
3
1
7
8
)
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Solution
(
−2512
1112
−56
13
56
−16
13
−13
3112
−1712
116
−13
−1912
1112
−43
13
)
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Solution steps
Solve by:
One step at a time
(
1
2
3
4
5
6
7
8
3
2
3
2
3
1
7
8
)−1
Inverse matrix
A matrix is invertible if and only if there is a sequence of elementary row (or column) operations taking it to the identity matrix.
Augmenter avec une matrice identité 4x4
[
1
2
3
4
∣
1
0
0
0
5
6
7
8
∣
0
1
0
0
3
2
3
2
∣
0
0
1
0
3
1
7
8
∣
0
0
0
1
]
Reduce the matrix on the left to the identity matrix
[
1
0
0
0
∣
−2512
1112
−56
13
0
1
0
0
∣
56
−16
13
−13
0
0
1
0
∣
3112
−1712
116
−13
0
0
0
1
∣
−1912
1112
−43
13
]
La matrice inverse est à droite de la matrice augmentée