diff --git a/src/mlpack/tests/main_tests/pca_test.cpp b/src/mlpack/tests/main_tests/pca_test.cpp
index 7da6ff3682..29b1536470 100644
--- a/src/mlpack/tests/main_tests/pca_test.cpp
+++ b/src/mlpack/tests/main_tests/pca_test.cpp
@@ -100,7 +100,8 @@ TEST_CASE_METHOD(PCATestFixture, "PCANoVarRetainTest", "[PCAMainTest]")
 /**
  * Check that we can't specify an invalid new dimensionality.
  */
-TEST_CASE_METHOD(PCATestFixture, "PCATooHighNewDimensionalityTest", "[PCAMainTest]")
+TEST_CASE_METHOD(PCATestFixture, "PCATooHighNewDimensionalityTest",
+        "[PCAMainTest]")
 {
   arma::mat x = arma::randu<arma::mat>(5, 5);
 
diff --git a/src/mlpack/tests/pca_test.cpp b/src/mlpack/tests/pca_test.cpp
index 7e2642fa75..fff63d0024 100644
--- a/src/mlpack/tests/pca_test.cpp
+++ b/src/mlpack/tests/pca_test.cpp
@@ -325,11 +325,11 @@ TEST_CASE("PCAScalingTest", "[PCATest]")
   REQUIRE(std::abs(eigvec(2, 1)) == Approx(1.0).epsilon(0.0035));
 
   // The third component should have the same absolute value characteristics as
-  // the first (plus 20% tolerance).
+  // the first (plus tolerance).
   REQUIRE(std::abs(eigvec(0, 0)) == Approx(sqrt(2) / 2).epsilon(0.0035));
   REQUIRE(std::abs(eigvec(1, 0)) == Approx(sqrt(2) / 2).epsilon(0.0035));
   REQUIRE(eigvec(2, 0) == Approx(0.0).margin(0.1)); // Large tolerance for noise.
 
   // The eigenvalues should sum to three.
-  REQUIRE(accu(eigval) == Approx(3.0).epsilon(0.1)); // 10% tolerance.
+  REQUIRE(accu(eigval) == Approx(3.0).epsilon(0.001));
 }