diff --git a/Cargo.lock b/Cargo.lock
index 4c1449a1..eacd7238 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -73,6 +73,15 @@ dependencies = [
  "windows-sys",
 ]
 
+[[package]]
+name = "approx"
+version = "0.5.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cab112f0a86d568ea0e627cc1d6be74a1e9cd55214684db5561995f6dad897c6"
+dependencies = [
+ "num-traits",
+]
+
 [[package]]
 name = "ascii-canvas"
 version = "3.0.0"
@@ -305,6 +314,13 @@ dependencies = [
  "windows-sys",
 ]
 
+[[package]]
+name = "externfns"
+version = "0.1.0"
+dependencies = [
+ "nalgebra",
+]
+
 [[package]]
 name = "fastrand"
 version = "2.1.0"
@@ -521,6 +537,12 @@ dependencies = [
  "windows-targets",
 ]
 
+[[package]]
+name = "libm"
+version = "0.2.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "4ec2a862134d2a7d32d7983ddcdd1c4923530833c9f2ea1a44fc5fa473989058"
+
 [[package]]
 name = "libredox"
 version = "0.1.3"
@@ -616,6 +638,7 @@ name = "nac3core"
 version = "0.1.0"
 dependencies = [
  "crossbeam",
+ "externfns",
  "indexmap 2.2.6",
  "indoc",
  "inkwell",
@@ -664,12 +687,64 @@ dependencies = [
  "parking_lot",
 ]
 
+[[package]]
+name = "nalgebra"
+version = "0.32.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b5c17de023a86f59ed79891b2e5d5a94c705dbe904a5b5c9c952ea6221b03e4"
+dependencies = [
+ "approx",
+ "num-complex",
+ "num-rational",
+ "num-traits",
+ "simba",
+ "typenum",
+]
+
 [[package]]
 name = "new_debug_unreachable"
 version = "1.0.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "650eef8c711430f1a879fdd01d4745a7deea475becfb90269c06775983bbf086"
 
+[[package]]
+name = "num-complex"
+version = "0.4.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "73f88a1307638156682bada9d7604135552957b7818057dcef22705b4d509495"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "num-integer"
+version = "0.1.46"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7969661fd2958a5cb096e56c8e1ad0444ac2bbcd0061bd28660485a44879858f"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f83d14da390562dca69fc84082e73e548e1ad308d24accdedd2720017cb37824"
+dependencies = [
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-traits"
+version = "0.2.19"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
+dependencies = [
+ "autocfg",
+ "libm",
+]
+
 [[package]]
 name = "once_cell"
 version = "1.19.0"
@@ -699,6 +774,12 @@ dependencies = [
  "windows-targets",
 ]
 
+[[package]]
+name = "paste"
+version = "1.0.15"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
+
 [[package]]
 name = "petgraph"
 version = "0.6.5"
@@ -1070,6 +1151,18 @@ dependencies = [
  "yaml-rust",
 ]
 
+[[package]]
+name = "simba"
+version = "0.8.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "061507c94fc6ab4ba1c9a0305018408e312e17c041eb63bef8aa726fa33aceae"
+dependencies = [
+ "approx",
+ "num-complex",
+ "num-traits",
+ "paste",
+]
+
 [[package]]
 name = "similar"
 version = "2.5.0"
@@ -1230,6 +1323,12 @@ dependencies = [
  "crunchy",
 ]
 
+[[package]]
+name = "typenum"
+version = "1.17.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"
+
 [[package]]
 name = "unic-char-property"
 version = "0.9.0"
diff --git a/Cargo.toml b/Cargo.toml
index 765ab391..3b15c464 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -4,6 +4,7 @@ members = [
   "nac3ast",
   "nac3parser",
   "nac3core",
+  "nac3core/src/codegen/externfns",
   "nac3standalone",
   "nac3artiq",
   "runkernel",
diff --git a/nac3core/Cargo.toml b/nac3core/Cargo.toml
index 724e0c8c..2659ddc4 100644
--- a/nac3core/Cargo.toml
+++ b/nac3core/Cargo.toml
@@ -11,6 +11,7 @@ indexmap = "2.2"
 parking_lot = "0.12"
 rayon = "1.8"
 nac3parser = { path = "../nac3parser" }
+externfns = { path = "src/codegen/externfns" }
 strum = "0.26.2"
 strum_macros = "0.26.4"
 
diff --git a/nac3core/src/codegen/externfns/Cargo.toml b/nac3core/src/codegen/externfns/Cargo.toml
new file mode 100644
index 00000000..9d4592b4
--- /dev/null
+++ b/nac3core/src/codegen/externfns/Cargo.toml
@@ -0,0 +1,10 @@
+[package]
+name = "externfns"
+version = "0.1.0"
+edition = "2021"
+
+[lib]
+crate-type = ["cdylib"]
+
+[dependencies]
+nalgebra = {version = "0.32.6", default-features = false, features = ["libm", "alloc"]}
diff --git a/nac3core/src/codegen/externfns/src/lib.rs b/nac3core/src/codegen/externfns/src/lib.rs
new file mode 100644
index 00000000..504aa670
--- /dev/null
+++ b/nac3core/src/codegen/externfns/src/lib.rs
@@ -0,0 +1,30 @@
+use core::slice;
+use nalgebra::{linalg, DMatrix};
+
+/// # Safety
+///
+/// `data` must point to an array with `dim0`x`dim1` elements in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn linalg_try_invert_to(dim0: usize, dim1: usize, data: *mut f64) -> i8 {
+    let data_slice = unsafe { slice::from_raw_parts_mut(data, dim0 * dim1) };
+    let matrix = DMatrix::from_row_slice(dim0, dim1, data_slice);
+    let mut inverted_matrix = DMatrix::<f64>::zeros(dim0, dim1);
+
+    if linalg::try_invert_to(matrix, &mut inverted_matrix) {
+        data_slice.copy_from_slice(inverted_matrix.transpose().as_slice());
+        1
+    } else {
+        0
+    }
+}
+
+/// # Safety
+///
+/// `data` must point to an array of 4 elements in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn linalg_wilkinson_shift(dim0: usize, dim1: usize, data: *mut f64) -> f64 {
+    let data_slice = unsafe { slice::from_raw_parts_mut(data, dim0 * dim1) };
+    let matrix = DMatrix::from_row_slice(dim0, dim1, data_slice);
+
+    linalg::wilkinson_shift(matrix[(0, 0)], matrix[(1, 1)], matrix[(0, 1)])
+}