I need help in finding the inverse of this matrix:

[,1] [,2] [,3] [,4]

[1,] 161 349 662 879

[2,] 349 1147 1790 1851

[3,] 662 1790 3062 3464

[4,] 879 1851 3464 5395

If i use the "inv()" function (matlib package) the following message appears: "Error in Inverse(X, tol = sqrt(.Machine$double.eps), ...) :

X is numerically singular"

However, the determinant is not 0.

'> det(X)

[1] -3.66251e-06'

I guess R approximates det to 0 since its a very small value. how can i solve this problem?