diff --git a/src/resources/cache/hashes.json b/src/resources/cache/hashes.json
index d178aba9e161..49ef79d25e93 100644
--- a/src/resources/cache/hashes.json
+++ b/src/resources/cache/hashes.json
@@ -1,109 +1,109 @@
 {
-  "webgpu/shader/execution/binary/af_addition.bin": "360aab58",
+  "webgpu/shader/execution/binary/af_addition.bin": "672ec525",
   "webgpu/shader/execution/binary/af_logical.bin": "4269127d",
-  "webgpu/shader/execution/binary/af_division.bin": "2a1ae6a9",
-  "webgpu/shader/execution/binary/af_matrix_addition.bin": "135913e7",
-  "webgpu/shader/execution/binary/af_matrix_matrix_multiplication.bin": "83a7b6ab",
-  "webgpu/shader/execution/binary/af_matrix_scalar_multiplication.bin": "5959bc9f",
-  "webgpu/shader/execution/binary/af_matrix_subtraction.bin": "9c125148",
-  "webgpu/shader/execution/binary/af_matrix_vector_multiplication.bin": "efbe60ca",
-  "webgpu/shader/execution/binary/af_multiplication.bin": "923ed423",
-  "webgpu/shader/execution/binary/af_remainder.bin": "c17bb87f",
-  "webgpu/shader/execution/binary/af_subtraction.bin": "6457d271",
+  "webgpu/shader/execution/binary/af_division.bin": "6e8ad892",
+  "webgpu/shader/execution/binary/af_matrix_addition.bin": "32da2b7c",
+  "webgpu/shader/execution/binary/af_matrix_matrix_multiplication.bin": "91deee9f",
+  "webgpu/shader/execution/binary/af_matrix_scalar_multiplication.bin": "fee3b7a9",
+  "webgpu/shader/execution/binary/af_matrix_subtraction.bin": "a88e71",
+  "webgpu/shader/execution/binary/af_matrix_vector_multiplication.bin": "b4125c67",
+  "webgpu/shader/execution/binary/af_multiplication.bin": "9169a7cc",
+  "webgpu/shader/execution/binary/af_remainder.bin": "cca81a43",
+  "webgpu/shader/execution/binary/af_subtraction.bin": "492e9fa6",
   "webgpu/shader/execution/binary/ai_arithmetic.bin": "f89aeb4",
-  "webgpu/shader/execution/binary/f16_addition.bin": "85c17d72",
+  "webgpu/shader/execution/binary/f16_addition.bin": "dc6254bc",
   "webgpu/shader/execution/binary/f16_logical.bin": "36a51091",
-  "webgpu/shader/execution/binary/f16_division.bin": "7c38f4b7",
-  "webgpu/shader/execution/binary/f16_matrix_addition.bin": "9e6258d7",
-  "webgpu/shader/execution/binary/f16_matrix_matrix_multiplication.bin": "916ca7e6",
-  "webgpu/shader/execution/binary/f16_matrix_scalar_multiplication.bin": "a4f59720",
-  "webgpu/shader/execution/binary/f16_matrix_subtraction.bin": "5e94030b",
-  "webgpu/shader/execution/binary/f16_matrix_vector_multiplication.bin": "45b64fd9",
-  "webgpu/shader/execution/binary/f16_multiplication.bin": "ee7ba392",
-  "webgpu/shader/execution/binary/f16_remainder.bin": "ea8f78e",
-  "webgpu/shader/execution/binary/f16_subtraction.bin": "f5e0d152",
-  "webgpu/shader/execution/binary/f32_addition.bin": "d82339c6",
+  "webgpu/shader/execution/binary/f16_division.bin": "6d2b053a",
+  "webgpu/shader/execution/binary/f16_matrix_addition.bin": "341ba083",
+  "webgpu/shader/execution/binary/f16_matrix_matrix_multiplication.bin": "bd8dd00b",
+  "webgpu/shader/execution/binary/f16_matrix_scalar_multiplication.bin": "14c4703f",
+  "webgpu/shader/execution/binary/f16_matrix_subtraction.bin": "995297a6",
+  "webgpu/shader/execution/binary/f16_matrix_vector_multiplication.bin": "195412f0",
+  "webgpu/shader/execution/binary/f16_multiplication.bin": "9698f93f",
+  "webgpu/shader/execution/binary/f16_remainder.bin": "171e75c7",
+  "webgpu/shader/execution/binary/f16_subtraction.bin": "7b6a942f",
+  "webgpu/shader/execution/binary/f32_addition.bin": "3b4de4ba",
   "webgpu/shader/execution/binary/f32_logical.bin": "e1d07173",
-  "webgpu/shader/execution/binary/f32_division.bin": "46721765",
-  "webgpu/shader/execution/binary/f32_matrix_addition.bin": "6fdf77f1",
-  "webgpu/shader/execution/binary/f32_matrix_matrix_multiplication.bin": "73520069",
-  "webgpu/shader/execution/binary/f32_matrix_scalar_multiplication.bin": "5ea144ba",
-  "webgpu/shader/execution/binary/f32_matrix_subtraction.bin": "5f5213d2",
-  "webgpu/shader/execution/binary/f32_matrix_vector_multiplication.bin": "2ff78c70",
-  "webgpu/shader/execution/binary/f32_multiplication.bin": "3eb2748f",
-  "webgpu/shader/execution/binary/f32_remainder.bin": "a6728c3e",
-  "webgpu/shader/execution/binary/f32_subtraction.bin": "6d3120c0",
+  "webgpu/shader/execution/binary/f32_division.bin": "27d0e4",
+  "webgpu/shader/execution/binary/f32_matrix_addition.bin": "4712fb9d",
+  "webgpu/shader/execution/binary/f32_matrix_matrix_multiplication.bin": "7340d9ed",
+  "webgpu/shader/execution/binary/f32_matrix_scalar_multiplication.bin": "67894b46",
+  "webgpu/shader/execution/binary/f32_matrix_subtraction.bin": "90a68302",
+  "webgpu/shader/execution/binary/f32_matrix_vector_multiplication.bin": "4ad5ee6",
+  "webgpu/shader/execution/binary/f32_multiplication.bin": "1f42db44",
+  "webgpu/shader/execution/binary/f32_remainder.bin": "5556d99f",
+  "webgpu/shader/execution/binary/f32_subtraction.bin": "54a6d2db",
   "webgpu/shader/execution/binary/i32_arithmetic.bin": "936d712",
   "webgpu/shader/execution/binary/i32_comparison.bin": "5db8f3b0",
   "webgpu/shader/execution/binary/u32_arithmetic.bin": "415ac05e",
   "webgpu/shader/execution/binary/u32_comparison.bin": "f90d60f3",
-  "webgpu/shader/execution/abs.bin": "3bcfb49e",
-  "webgpu/shader/execution/acos.bin": "86824420",
-  "webgpu/shader/execution/acosh.bin": "95f9a9a4",
-  "webgpu/shader/execution/asin.bin": "1d017518",
-  "webgpu/shader/execution/asinh.bin": "56df3876",
-  "webgpu/shader/execution/atan.bin": "6aaa6b50",
-  "webgpu/shader/execution/atan2.bin": "82bcc1a2",
-  "webgpu/shader/execution/atanh.bin": "36a1f68a",
-  "webgpu/shader/execution/bitcast.bin": "6b7ea46b",
-  "webgpu/shader/execution/ceil.bin": "7308c54f",
-  "webgpu/shader/execution/clamp.bin": "9bfd2fce",
-  "webgpu/shader/execution/cos.bin": "2fa872d3",
-  "webgpu/shader/execution/cosh.bin": "2e6538aa",
-  "webgpu/shader/execution/cross.bin": "71a7e274",
-  "webgpu/shader/execution/degrees.bin": "31d8728f",
-  "webgpu/shader/execution/determinant.bin": "399a64cb",
-  "webgpu/shader/execution/distance.bin": "4282ab43",
-  "webgpu/shader/execution/dot.bin": "b4940f90",
-  "webgpu/shader/execution/exp.bin": "3801f256",
-  "webgpu/shader/execution/exp2.bin": "fb531b99",
-  "webgpu/shader/execution/faceForward.bin": "ac35ad68",
-  "webgpu/shader/execution/floor.bin": "177dc3a6",
-  "webgpu/shader/execution/fma.bin": "27a3e818",
-  "webgpu/shader/execution/fract.bin": "8ed3cd4b",
-  "webgpu/shader/execution/frexp.bin": "b6d69258",
-  "webgpu/shader/execution/inverseSqrt.bin": "b08786b3",
-  "webgpu/shader/execution/ldexp.bin": "6b8bcdb3",
-  "webgpu/shader/execution/length.bin": "3dc4b222",
-  "webgpu/shader/execution/log.bin": "9219d5e4",
-  "webgpu/shader/execution/log2.bin": "d5ca64af",
-  "webgpu/shader/execution/max.bin": "9051c302",
-  "webgpu/shader/execution/min.bin": "e950d75f",
-  "webgpu/shader/execution/mix.bin": "3a720d24",
-  "webgpu/shader/execution/modf.bin": "ef00e883",
-  "webgpu/shader/execution/normalize.bin": "52231704",
+  "webgpu/shader/execution/abs.bin": "dff57464",
+  "webgpu/shader/execution/acos.bin": "13c72b8d",
+  "webgpu/shader/execution/acosh.bin": "f3daea94",
+  "webgpu/shader/execution/asin.bin": "c562907e",
+  "webgpu/shader/execution/asinh.bin": "721deb57",
+  "webgpu/shader/execution/atan.bin": "5b88238b",
+  "webgpu/shader/execution/atan2.bin": "418abbf",
+  "webgpu/shader/execution/atanh.bin": "8a76120d",
+  "webgpu/shader/execution/bitcast.bin": "913ebd59",
+  "webgpu/shader/execution/ceil.bin": "c392b09d",
+  "webgpu/shader/execution/clamp.bin": "2b379332",
+  "webgpu/shader/execution/cos.bin": "d70daf38",
+  "webgpu/shader/execution/cosh.bin": "3dd70510",
+  "webgpu/shader/execution/cross.bin": "aaf9b866",
+  "webgpu/shader/execution/degrees.bin": "50eed4f2",
+  "webgpu/shader/execution/determinant.bin": "1efb7155",
+  "webgpu/shader/execution/distance.bin": "6b4cb2e9",
+  "webgpu/shader/execution/dot.bin": "ac1a7cfa",
+  "webgpu/shader/execution/exp.bin": "4878be34",
+  "webgpu/shader/execution/exp2.bin": "2cc28715",
+  "webgpu/shader/execution/faceForward.bin": "180bb8cd",
+  "webgpu/shader/execution/floor.bin": "17dc4618",
+  "webgpu/shader/execution/fma.bin": "442ff796",
+  "webgpu/shader/execution/fract.bin": "4fd27c33",
+  "webgpu/shader/execution/frexp.bin": "e4230e28",
+  "webgpu/shader/execution/inverseSqrt.bin": "2676cff9",
+  "webgpu/shader/execution/ldexp.bin": "ae727461",
+  "webgpu/shader/execution/length.bin": "d8effb69",
+  "webgpu/shader/execution/log.bin": "db27f8e3",
+  "webgpu/shader/execution/log2.bin": "b59594e4",
+  "webgpu/shader/execution/max.bin": "637391a",
+  "webgpu/shader/execution/min.bin": "77a38ad5",
+  "webgpu/shader/execution/mix.bin": "b57d9e7d",
+  "webgpu/shader/execution/modf.bin": "83847917",
+  "webgpu/shader/execution/normalize.bin": "573a4169",
   "webgpu/shader/execution/pack2x16float.bin": "54f11627",
-  "webgpu/shader/execution/pow.bin": "9fdb1669",
-  "webgpu/shader/execution/quantizeToF16.bin": "e980118b",
-  "webgpu/shader/execution/radians.bin": "a676aec1",
-  "webgpu/shader/execution/reflect.bin": "a951c771",
-  "webgpu/shader/execution/refract.bin": "d8953376",
-  "webgpu/shader/execution/round.bin": "eee2fc9",
-  "webgpu/shader/execution/saturate.bin": "161df54c",
-  "webgpu/shader/execution/sign.bin": "9d9a22ff",
-  "webgpu/shader/execution/sin.bin": "29f7032a",
-  "webgpu/shader/execution/sinh.bin": "9d282f12",
-  "webgpu/shader/execution/smoothstep.bin": "f4230ffb",
-  "webgpu/shader/execution/sqrt.bin": "1dba9696",
-  "webgpu/shader/execution/step.bin": "2048f771",
-  "webgpu/shader/execution/tan.bin": "adc5217b",
-  "webgpu/shader/execution/tanh.bin": "20f7d479",
-  "webgpu/shader/execution/transpose.bin": "727afd91",
-  "webgpu/shader/execution/trunc.bin": "bc14dd25",
-  "webgpu/shader/execution/unpack2x16float.bin": "b8428e59",
-  "webgpu/shader/execution/unpack2x16snorm.bin": "e38f4982",
-  "webgpu/shader/execution/unpack2x16unorm.bin": "c7cdd947",
-  "webgpu/shader/execution/unpack4x8snorm.bin": "71e176b1",
-  "webgpu/shader/execution/unpack4x8unorm.bin": "5e61d6ea",
-  "webgpu/shader/execution/unary/af_arithmetic.bin": "29bc881a",
-  "webgpu/shader/execution/unary/af_assignment.bin": "33c25997",
+  "webgpu/shader/execution/pow.bin": "4d6b8a2d",
+  "webgpu/shader/execution/quantizeToF16.bin": "27f31831",
+  "webgpu/shader/execution/radians.bin": "64ae45ec",
+  "webgpu/shader/execution/reflect.bin": "3c91581c",
+  "webgpu/shader/execution/refract.bin": "a2d4d097",
+  "webgpu/shader/execution/round.bin": "d7c23e09",
+  "webgpu/shader/execution/saturate.bin": "a87c0a3d",
+  "webgpu/shader/execution/sign.bin": "a07df7f6",
+  "webgpu/shader/execution/sin.bin": "ffff8ea5",
+  "webgpu/shader/execution/sinh.bin": "6c88ea46",
+  "webgpu/shader/execution/smoothstep.bin": "367d70e8",
+  "webgpu/shader/execution/sqrt.bin": "b7d719f5",
+  "webgpu/shader/execution/step.bin": "20139205",
+  "webgpu/shader/execution/tan.bin": "706bad5e",
+  "webgpu/shader/execution/tanh.bin": "790da524",
+  "webgpu/shader/execution/transpose.bin": "75ca5973",
+  "webgpu/shader/execution/trunc.bin": "277331f6",
+  "webgpu/shader/execution/unpack2x16float.bin": "8a53b5cc",
+  "webgpu/shader/execution/unpack2x16snorm.bin": "c9a57618",
+  "webgpu/shader/execution/unpack2x16unorm.bin": "3b79443e",
+  "webgpu/shader/execution/unpack4x8snorm.bin": "ebac364a",
+  "webgpu/shader/execution/unpack4x8unorm.bin": "e16576d7",
+  "webgpu/shader/execution/unary/af_arithmetic.bin": "d456bf2c",
+  "webgpu/shader/execution/unary/af_assignment.bin": "18fdbe7d",
   "webgpu/shader/execution/unary/ai_arithmetic.bin": "497ec1e1",
   "webgpu/shader/execution/unary/ai_assignment.bin": "fc978bdd",
   "webgpu/shader/execution/unary/bool_conversion.bin": "bcab7d9a",
-  "webgpu/shader/execution/unary/f16_arithmetic.bin": "925ed6d",
-  "webgpu/shader/execution/unary/f16_conversion.bin": "751ff969",
-  "webgpu/shader/execution/unary/f32_arithmetic.bin": "b26d9187",
-  "webgpu/shader/execution/unary/f32_conversion.bin": "482ee20f",
+  "webgpu/shader/execution/unary/f16_arithmetic.bin": "512f3d36",
+  "webgpu/shader/execution/unary/f16_conversion.bin": "7aff8026",
+  "webgpu/shader/execution/unary/f32_arithmetic.bin": "40109b41",
+  "webgpu/shader/execution/unary/f32_conversion.bin": "a79a1a09",
   "webgpu/shader/execution/unary/i32_arithmetic.bin": "8f3c4616",
   "webgpu/shader/execution/unary/i32_conversion.bin": "972063c",
   "webgpu/shader/execution/unary/u32_conversion.bin": "168fcf74"
diff --git a/src/resources/cache/webgpu/shader/execution/determinant.bin b/src/resources/cache/webgpu/shader/execution/determinant.bin
index cef09cd67bd1..d09c7df7e8aa 100644
Binary files a/src/resources/cache/webgpu/shader/execution/determinant.bin and b/src/resources/cache/webgpu/shader/execution/determinant.bin differ
diff --git a/src/unittests/floating_point.spec.ts b/src/unittests/floating_point.spec.ts
index 64f3bec47d08..472207d185a1 100644
--- a/src/unittests/floating_point.spec.ts
+++ b/src/unittests/floating_point.spec.ts
@@ -6504,7 +6504,7 @@ interface MatrixToScalarCase {
 g.test('determinantInterval')
   .params(u =>
     u
-      .combine('trait', ['f32', 'f16'] as const)
+      .combine('trait', ['f32', 'f16', 'abstract'] as const)
       .beginSubcases()
       .combineWithParams<MatrixToScalarCase>([
         // Extreme values, i.e. subnormals, very large magnitudes, and those lead to
diff --git a/src/webgpu/shader/execution/expression/call/builtin/determinant.cache.ts b/src/webgpu/shader/execution/expression/call/builtin/determinant.cache.ts
index 379b42b3e63c..4eab44009abe 100644
--- a/src/webgpu/shader/execution/expression/call/builtin/determinant.cache.ts
+++ b/src/webgpu/shader/execution/expression/call/builtin/determinant.cache.ts
@@ -78,7 +78,21 @@ const f16_cases = ([2, 3, 4] as const)
   )
   .reduce((a, b) => ({ ...a, ...b }), {});
 
+// Cases: abstract_matDxD
+const abstract_cases = ([2, 3, 4] as const)
+  .map(dim => ({
+    [`abstract_mat${dim}x${dim}`]: () => {
+      return FP.abstract.generateMatrixToScalarCases(
+        kDeterminantMatrixValues[dim],
+        'finite',
+        FP.abstract.determinantInterval
+      );
+    },
+  }))
+  .reduce((a, b) => ({ ...a, ...b }), {});
+
 export const d = makeCaseCache('determinant', {
   ...f32_cases,
   ...f16_cases,
+  ...abstract_cases,
 });
diff --git a/src/webgpu/shader/execution/expression/call/builtin/determinant.spec.ts b/src/webgpu/shader/execution/expression/call/builtin/determinant.spec.ts
index 8b259eedb33e..638af80acaf5 100644
--- a/src/webgpu/shader/execution/expression/call/builtin/determinant.spec.ts
+++ b/src/webgpu/shader/execution/expression/call/builtin/determinant.spec.ts
@@ -9,9 +9,9 @@ Returns the determinant of e.
 import { makeTestGroup } from '../../../../../../common/framework/test_group.js';
 import { GPUTest } from '../../../../../gpu_test.js';
 import { Type } from '../../../../../util/conversion.js';
-import { allInputSources, run } from '../../expression.js';
+import { allInputSources, onlyConstInputSource, run } from '../../expression.js';
 
-import { builtin } from './builtin.js';
+import { abstractFloatBuiltin, builtin } from './builtin.js';
 import { d } from './determinant.cache.js';
 
 export const g = makeTestGroup(GPUTest);
@@ -19,8 +19,19 @@ export const g = makeTestGroup(GPUTest);
 g.test('abstract_float')
   .specURL('https://www.w3.org/TR/WGSL/#matrix-builtin-functions')
   .desc(`abstract float tests`)
-  .params(u => u.combine('inputSource', allInputSources).combine('dimension', [2, 3, 4] as const))
-  .unimplemented();
+  .params(u => u.combine('inputSource', onlyConstInputSource).combine('dim', [2, 3, 4] as const))
+  .fn(async t => {
+    const dim = t.params.dim;
+    const cases = await d.get(`abstract_mat${dim}x${dim}`);
+    await run(
+      t,
+      abstractFloatBuiltin('determinant'),
+      [Type.mat(dim, dim, Type.abstractFloat)],
+      Type.abstractFloat,
+      t.params,
+      cases
+    );
+  });
 
 g.test('f32')
   .specURL('https://www.w3.org/TR/WGSL/#matrix-builtin-functions')
diff --git a/src/webgpu/util/floating_point.ts b/src/webgpu/util/floating_point.ts
index 9b6fbeac39bd..36900e6da994 100644
--- a/src/webgpu/util/floating_point.ts
+++ b/src/webgpu/util/floating_point.ts
@@ -5128,10 +5128,7 @@ class FPAbstractTraits extends FPTraits {
   public readonly coshInterval = this.unimplementedScalarToInterval.bind(this, 'coshInterval');
   public readonly crossInterval = this.crossIntervalImpl.bind(this);
   public readonly degreesInterval = this.degreesIntervalImpl.bind(this);
-  public readonly determinantInterval = this.unimplementedMatrixToInterval.bind(
-    this,
-    'determinantInterval'
-  );
+  public readonly determinantInterval = this.determinantIntervalImpl.bind(this);
   public readonly distanceInterval = this.unimplementedDistance.bind(this);
   public readonly divisionInterval = (
     x: number | FPInterval,