Skip to contents

Throws a runtime_error if the matrix is not invertible.





(Tensor): tensor of shape (*, n, n) where * is zero or more batch dimensions consisting of invertible matrices.


Letting be or , for a matrix , its inverse matrix (if it exists) is defined as

A1A=AA1=In A^{-1}A = AA^{-1} = \mathrm{I}_n where is the n-dimensional identity matrix.

The inverse matrix exists if and only if is invertible. In this case, the inverse is unique. Supports input of float, double, cfloat and cdouble dtypes. Also supports batches of matrices, and if A is a batch of matrices then the output has the same batch dimensions.

Consider using linalg_solve() if possible for multiplying a matrix on the left by the inverse, as linalg_solve(A, B) == A$inv() %*% B It is always prefered to use linalg_solve() when possible, as it is faster and more numerically stable than computing the inverse explicitly.


if (torch_is_installed()) {
A <- torch_randn(4, 4)
#> torch_tensor
#> -0.2507 -0.4972 -0.1922 -0.9363
#> -0.2006 -1.1907  3.5489  0.3504
#> -1.1944 -1.1430  3.6438 -0.8388
#> -0.4556 -0.7984  0.8755 -0.3526
#> [ CPUFloatType{4,4} ]