Whether a similar approach exists for higher-dimensional cases.Īs we will find out in this explainer, there does exist a formula for the matrix inverse that generalizes the 2 × 2 case. Manipulating the entries of the matrix and dividing by the determinant, provided it is not equal to zero. In the 2 × 2 case, we note that the inverse is obtained by
Having said that this extension is possible, it is easier said than done to derive formulas for such matrices or to know Where 𝐼 is the 𝑛 × 𝑛 identity matrix.
𝐴 ) is an 𝑛 × 𝑛 matrix that satisfies
