diff --git a/Registry.toml b/Registry.toml
index f5797bd..6edc276 100644
--- a/Registry.toml
+++ b/Registry.toml
@@ -21,6 +21,7 @@ description = "Registry for Tensor4All packages, such as TensorCrossInterpolatio
 b11687fd-3a1c-4c41-97d0-998ab401d50e = { name = "QuanticsTCI", path = "Q/QuanticsTCI" }
 b261b2ec-6378-4871-b32e-9173bb050604 = { name = "TensorCrossInterpolation", path = "T/TensorCrossInterpolation" }
 baf62351-2e82-41dd-9129-4f5768a618e1 = { name = "TCIAlgorithms", path = "T/TCIAlgorithms" }
+c72b89c1-c391-41a7-b711-dfcca653bb47 = { name = "T4AMatrixCI", path = "T/T4AMatrixCI" }
 ef09ec98-57a2-49a0-bf0b-86b55a3d9051 = { name = "T4AQuanticsTCI", path = "T/T4AQuanticsTCI" }
 f6e391d2-8ffa-4d7a-98cd-7e70024481ca = { name = "FastMPOContractions", path = "F/FastMPOContractions" }
 f7a3e09c-877e-4116-af24-45397c1413c2 = { name = "T4APartitionedMPSs", path = "T/T4APartitionedMPSs" }
diff --git a/T/T4AMatrixCI/Compat.toml b/T/T4AMatrixCI/Compat.toml
new file mode 100644
index 0000000..503531e
--- /dev/null
+++ b/T/T4AMatrixCI/Compat.toml
@@ -0,0 +1,2 @@
+[0]
+julia = "1.10.0 - 1"
diff --git a/T/T4AMatrixCI/Deps.toml b/T/T4AMatrixCI/Deps.toml
new file mode 100644
index 0000000..96eab01
--- /dev/null
+++ b/T/T4AMatrixCI/Deps.toml
@@ -0,0 +1,2 @@
+[0]
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
diff --git a/T/T4AMatrixCI/Package.toml b/T/T4AMatrixCI/Package.toml
new file mode 100644
index 0000000..0ffa0e4
--- /dev/null
+++ b/T/T4AMatrixCI/Package.toml
@@ -0,0 +1,3 @@
+name = "T4AMatrixCI"
+uuid = "c72b89c1-c391-41a7-b711-dfcca653bb47"
+repo = "https://github.com/tensor4all/T4AMatrixCI.jl.git"
diff --git a/T/T4AMatrixCI/Versions.toml b/T/T4AMatrixCI/Versions.toml
new file mode 100644
index 0000000..7b091fa
--- /dev/null
+++ b/T/T4AMatrixCI/Versions.toml
@@ -0,0 +1,2 @@
+["0.1.0"]
+git-tree-sha1 = "abcc32e0fc95e390089ec1154231e7577805c58c"