diff --git a/.github/workflows/audit.yml b/.github/workflows/audit.yml
index dda4fb9..17f5ca9 100644
--- a/.github/workflows/audit.yml
+++ b/.github/workflows/audit.yml
@@ -8,7 +8,7 @@ jobs:
       - uses: actions/checkout@v4
       - uses: actions/setup-python@v5
         with:
-          python-version: 3.12
+          python-version: 3.13
           architecture: x64
 
       - run: python --version
diff --git a/.github/workflows/docs.yml b/.github/workflows/docs.yml
index da7d9d2..4ac03bc 100644
--- a/.github/workflows/docs.yml
+++ b/.github/workflows/docs.yml
@@ -8,7 +8,7 @@ jobs:
       - uses: actions/checkout@v4
       - uses: actions/setup-python@v5
         with:
-          python-version: 3.12
+          python-version: 3.13
           architecture: x64
 
       - run: python --version
diff --git a/.github/workflows/lint.yml b/.github/workflows/lint.yml
index 318be47..ad6e324 100644
--- a/.github/workflows/lint.yml
+++ b/.github/workflows/lint.yml
@@ -8,7 +8,7 @@ jobs:
       - uses: actions/checkout@v4
       - uses: actions/setup-python@v5
         with:
-          python-version: 3.12
+          python-version: 3.13
           architecture: x64
 
       - run: python --version
diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index 37db62a..0c4a35e 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -16,6 +16,7 @@ jobs:
             3.10
             3.11
             3.12
+            3.13
           architecture: x64
 
       - run: python --version
diff --git a/.github/workflows/test_coverage.yml b/.github/workflows/test_coverage.yml
index 3a9b498..7c8a7a9 100644
--- a/.github/workflows/test_coverage.yml
+++ b/.github/workflows/test_coverage.yml
@@ -14,6 +14,7 @@ jobs:
             3.10
             3.11
             3.12
+            3.13
           architecture: x64
 
       - run: python --version
diff --git a/.github/workflows/test_docstrings.yml b/.github/workflows/test_docstrings.yml
index cc55589..7c32390 100644
--- a/.github/workflows/test_docstrings.yml
+++ b/.github/workflows/test_docstrings.yml
@@ -8,7 +8,7 @@ jobs:
       - uses: actions/checkout@v4
       - uses: actions/setup-python@v5
         with:
-          python-version: 3.12
+          python-version: 3.13
           architecture: x64
 
       - run: python --version
diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 8d703e6..f29c6fa 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -5,7 +5,7 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        python-version: ["3.9", "3.10", "3.11", "3.12"]
+        python-version: ["3.9", "3.10", "3.11", "3.12", "3.13"]
     name: test-${{ matrix.python-version }}
     steps:
       - uses: actions/checkout@v4
diff --git a/.readthedocs.yml b/.readthedocs.yml
index 78c25f1..e427896 100644
--- a/.readthedocs.yml
+++ b/.readthedocs.yml
@@ -3,7 +3,7 @@ version: 2
 build:
   os: ubuntu-24.04
   tools:
-    python: "3.12"
+    python: "3.13"
 
 sphinx:
   configuration: docs/conf.py
diff --git a/README.md b/README.md
index 890a074..382d774 100644
--- a/README.md
+++ b/README.md
@@ -89,7 +89,7 @@ To execute all default tasks, simply invoke:
 `nox`
 
 This includes running the test suite for the project's main Python version
-    (i.e., [3.12](https://devguide.python.org/versions/)).
+    (i.e., [3.13](https://devguide.python.org/versions/)).
 
 
 #### Code Formatting & Linting
diff --git a/noxfile.py b/noxfile.py
index e03e1bb..4db6f24 100644
--- a/noxfile.py
+++ b/noxfile.py
@@ -57,7 +57,7 @@ def load_supported_python_versions(*, reverse: bool = False) -> list[str]:
 
 
 SUPPORTED_PYTHONS = load_supported_python_versions(reverse=True)
-MAIN_PYTHON = "3.12"
+MAIN_PYTHON = "3.13"
 
 DOCS_SRC, DOCS_BUILD = ("docs/", ".cache/docs/")
 TESTS_LOCATION = "tests/"
@@ -460,7 +460,7 @@ def start(session: nox.Session) -> None:
     session.env["PIP_CACHE_DIR"] = ".cache/pip"
     session.env["PIP_DISABLE_PIP_VERSION_CHECK"] = "true"
 
-    if session.python in ("3.12", "3.11"):
+    if session.python in ("3.13", "3.12", "3.11"):
         session.env["PRAGMA_SUPPORT_39_N_310"] = "to support Python 3.9 & 3.10"
     else:
         session.env["PRAGMA_SUPPORT_39_N_310"] = f"{_magic_number =}"
diff --git a/pyproject.toml b/pyproject.toml
index 3114aae..72c975f 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -16,6 +16,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
 ]
 description = "A Python library to study linear algebra"
 license = "MIT"