I'm using LAPACK via Accelerate to invert a matrix. In the code below, the matrix is represented as a `Matrix`

struct and the inversion is performed by the `inverseMatrix`

function. A precondition is used to ensure the input matrix is square. The error variable stores the INFO output from the dgetrf and dgetri LAPACK functions.

The `error`

variable indicates if the matrix inversion is successful or not. The error may also indicate if the matrix is ill-conditioned therefore the inverse should not be used. Right now I'm just printing out the integers that represent these errors. Is there a better way to handle these errors and convey to the user what the error actually means?

Also, the matrix inversion may fail so how should I handle that failure? Should I make the return value optional and return nil if it fails? Or is there some other way I should handle it?

Oh, one more thing, I build/run the code with the `ACCELERATE_NEW_LAPACK=1`

and `ACCELERATE_LAPACK_ILP64=1`

.

```
import Accelerate
struct Matrix<T> {
let rows: Int
let columns: Int
var data: [T]
func copy() -> Matrix {
Matrix(rows: self.rows, columns: self.columns, data: self.data)
}
}
func inverseMatrix(_ a: Matrix<Double>) -> Matrix<Double> {
precondition(a.rows == a.columns, "Matrix must be square")
var mat = a.copy()
var n = a.rows
var pivots = [Int](repeating: 0, count: a.rows)
var workspace = [Double](repeating: 0.0, count: a.rows)
var error = 0
// Perform LU decomposition
dgetrf_(&n, &n, &mat.data, &n, &pivots, &error)
if error != 0 {
print("LU decomposition error: \(error)")
error = 0
}
// Calculate inverse based on LU decomposition
dgetri_(&n, &mat.data, &n, &pivots, &workspace, &n, &error)
if error != 0 {
print("Inversion error: \(error)")
}
return mat
}
// --- Examples
let A = Matrix<Double>(rows: 2, columns: 2, data: [1, 2, 3, 4])
let inverseA = inverseMatrix(A)
print(inverseA, "\n")
let B = Matrix<Double>(rows: 3, columns: 3, data: [1, 2, 3, 4, 5, 6, 7, 8, 9])
let inverseB = inverseMatrix(B)
print(inverseB, "\n")
```