diff --git a/src/resources/cache/hashes.json b/src/resources/cache/hashes.json
index a92aa14b76db..1dfb7379313f 100644
--- a/src/resources/cache/hashes.json
+++ b/src/resources/cache/hashes.json
@@ -1,110 +1,110 @@
 {
-  "webgpu/shader/execution/binary/af_addition.bin": "1043cbb2",
+  "webgpu/shader/execution/binary/af_addition.bin": "f79f0374",
   "webgpu/shader/execution/binary/af_logical.bin": "9ab41597",
-  "webgpu/shader/execution/binary/af_division.bin": "9ec22a4e",
-  "webgpu/shader/execution/binary/af_matrix_addition.bin": "1da2ca22",
-  "webgpu/shader/execution/binary/af_matrix_subtraction.bin": "25303b8e",
-  "webgpu/shader/execution/binary/af_multiplication.bin": "70d8f01a",
-  "webgpu/shader/execution/binary/af_remainder.bin": "101c7835",
-  "webgpu/shader/execution/binary/af_subtraction.bin": "26791651",
-  "webgpu/shader/execution/binary/f16_addition.bin": "2d67db8f",
+  "webgpu/shader/execution/binary/af_division.bin": "770fc018",
+  "webgpu/shader/execution/binary/af_matrix_addition.bin": "a401d81a",
+  "webgpu/shader/execution/binary/af_matrix_subtraction.bin": "a9e51912",
+  "webgpu/shader/execution/binary/af_multiplication.bin": "8f7b5f84",
+  "webgpu/shader/execution/binary/af_remainder.bin": "133a1dd7",
+  "webgpu/shader/execution/binary/af_subtraction.bin": "9148f3ce",
+  "webgpu/shader/execution/binary/f16_addition.bin": "d58a9371",
   "webgpu/shader/execution/binary/f16_logical.bin": "80f9e754",
-  "webgpu/shader/execution/binary/f16_division.bin": "53e3bdaa",
-  "webgpu/shader/execution/binary/f16_matrix_addition.bin": "911d18f7",
-  "webgpu/shader/execution/binary/f16_matrix_matrix_multiplication.bin": "a306da0a",
-  "webgpu/shader/execution/binary/f16_matrix_scalar_multiplication.bin": "be77024a",
-  "webgpu/shader/execution/binary/f16_matrix_subtraction.bin": "ea813df5",
-  "webgpu/shader/execution/binary/f16_matrix_vector_multiplication.bin": "1692bec1",
-  "webgpu/shader/execution/binary/f16_multiplication.bin": "7c618e51",
-  "webgpu/shader/execution/binary/f16_remainder.bin": "9de2be15",
-  "webgpu/shader/execution/binary/f16_subtraction.bin": "c77bff8a",
-  "webgpu/shader/execution/binary/f32_addition.bin": "d4282b93",
+  "webgpu/shader/execution/binary/f16_division.bin": "5d2bf113",
+  "webgpu/shader/execution/binary/f16_matrix_addition.bin": "531954a6",
+  "webgpu/shader/execution/binary/f16_matrix_matrix_multiplication.bin": "b871cd18",
+  "webgpu/shader/execution/binary/f16_matrix_scalar_multiplication.bin": "3603d1db",
+  "webgpu/shader/execution/binary/f16_matrix_subtraction.bin": "c97537aa",
+  "webgpu/shader/execution/binary/f16_matrix_vector_multiplication.bin": "273b76c6",
+  "webgpu/shader/execution/binary/f16_multiplication.bin": "d98cd937",
+  "webgpu/shader/execution/binary/f16_remainder.bin": "6e5227f4",
+  "webgpu/shader/execution/binary/f16_subtraction.bin": "d243bbad",
+  "webgpu/shader/execution/binary/f32_addition.bin": "c288aef6",
   "webgpu/shader/execution/binary/f32_logical.bin": "47467130",
-  "webgpu/shader/execution/binary/f32_division.bin": "4d79a5f6",
-  "webgpu/shader/execution/binary/f32_matrix_addition.bin": "5972ccf0",
-  "webgpu/shader/execution/binary/f32_matrix_matrix_multiplication.bin": "8bc3f04a",
-  "webgpu/shader/execution/binary/f32_matrix_scalar_multiplication.bin": "7376da03",
-  "webgpu/shader/execution/binary/f32_matrix_subtraction.bin": "c4785f3a",
-  "webgpu/shader/execution/binary/f32_matrix_vector_multiplication.bin": "20d4b1",
-  "webgpu/shader/execution/binary/f32_multiplication.bin": "7586ed6d",
-  "webgpu/shader/execution/binary/f32_remainder.bin": "59f46306",
-  "webgpu/shader/execution/binary/f32_subtraction.bin": "4311ba10",
+  "webgpu/shader/execution/binary/f32_division.bin": "c9c76117",
+  "webgpu/shader/execution/binary/f32_matrix_addition.bin": "88eedbfa",
+  "webgpu/shader/execution/binary/f32_matrix_matrix_multiplication.bin": "9f76f2ac",
+  "webgpu/shader/execution/binary/f32_matrix_scalar_multiplication.bin": "1d667df9",
+  "webgpu/shader/execution/binary/f32_matrix_subtraction.bin": "aa253cf1",
+  "webgpu/shader/execution/binary/f32_matrix_vector_multiplication.bin": "98a63b3a",
+  "webgpu/shader/execution/binary/f32_multiplication.bin": "dce8dd5b",
+  "webgpu/shader/execution/binary/f32_remainder.bin": "d3bdb9e3",
+  "webgpu/shader/execution/binary/f32_subtraction.bin": "8a48e67a",
   "webgpu/shader/execution/binary/i32_arithmetic.bin": "d345f9c7",
   "webgpu/shader/execution/binary/i32_comparison.bin": "6d4ae7e0",
   "webgpu/shader/execution/binary/u32_arithmetic.bin": "163f8a38",
   "webgpu/shader/execution/binary/u32_comparison.bin": "f6c1497b",
-  "webgpu/shader/execution/abs.bin": "63fa988e",
-  "webgpu/shader/execution/acos.bin": "47521b3e",
-  "webgpu/shader/execution/acosh.bin": "59762b6f",
-  "webgpu/shader/execution/asin.bin": "db0c6641",
-  "webgpu/shader/execution/asinh.bin": "f0329d7f",
-  "webgpu/shader/execution/atan.bin": "f6fea79e",
-  "webgpu/shader/execution/atan2.bin": "1c390d0f",
-  "webgpu/shader/execution/atanh.bin": "4c430905",
-  "webgpu/shader/execution/bitcast.bin": "2dfc8f9",
-  "webgpu/shader/execution/ceil.bin": "3319384e",
-  "webgpu/shader/execution/clamp.bin": "4873dd79",
-  "webgpu/shader/execution/cos.bin": "c16d181a",
-  "webgpu/shader/execution/cosh.bin": "137f4997",
-  "webgpu/shader/execution/cross.bin": "aebda306",
-  "webgpu/shader/execution/degrees.bin": "5001b340",
-  "webgpu/shader/execution/determinant.bin": "c461c715",
-  "webgpu/shader/execution/distance.bin": "d05e2f8d",
-  "webgpu/shader/execution/dot.bin": "7f8b7e13",
-  "webgpu/shader/execution/exp.bin": "d448dc91",
-  "webgpu/shader/execution/exp2.bin": "1d232c0e",
-  "webgpu/shader/execution/faceForward.bin": "87c0576c",
-  "webgpu/shader/execution/floor.bin": "c3a60f36",
-  "webgpu/shader/execution/fma.bin": "6b94384d",
-  "webgpu/shader/execution/fract.bin": "d49c3d50",
-  "webgpu/shader/execution/frexp.bin": "252e0615",
-  "webgpu/shader/execution/inverseSqrt.bin": "1deb1185",
-  "webgpu/shader/execution/ldexp.bin": "617e4cc4",
-  "webgpu/shader/execution/length.bin": "f7b51c96",
-  "webgpu/shader/execution/log.bin": "ae124706",
-  "webgpu/shader/execution/log2.bin": "c428e9f2",
-  "webgpu/shader/execution/max.bin": "a45914cd",
-  "webgpu/shader/execution/min.bin": "1017e86d",
-  "webgpu/shader/execution/mix.bin": "3f5ebb6e",
-  "webgpu/shader/execution/modf.bin": "fedc0c50",
-  "webgpu/shader/execution/normalize.bin": "60173a1e",
+  "webgpu/shader/execution/abs.bin": "e21a06df",
+  "webgpu/shader/execution/acos.bin": "2a92d3d5",
+  "webgpu/shader/execution/acosh.bin": "c2cc2e23",
+  "webgpu/shader/execution/asin.bin": "2027460e",
+  "webgpu/shader/execution/asinh.bin": "21bac67b",
+  "webgpu/shader/execution/atan.bin": "6422056c",
+  "webgpu/shader/execution/atan2.bin": "d8ade832",
+  "webgpu/shader/execution/atanh.bin": "de1dd54c",
+  "webgpu/shader/execution/bitcast.bin": "fdd0874",
+  "webgpu/shader/execution/ceil.bin": "6596b2e2",
+  "webgpu/shader/execution/clamp.bin": "9a92d1b7",
+  "webgpu/shader/execution/cos.bin": "647f5fda",
+  "webgpu/shader/execution/cosh.bin": "5f847611",
+  "webgpu/shader/execution/cross.bin": "117f2e0f",
+  "webgpu/shader/execution/degrees.bin": "cadaa756",
+  "webgpu/shader/execution/determinant.bin": "f2df9222",
+  "webgpu/shader/execution/distance.bin": "d6a161d1",
+  "webgpu/shader/execution/dot.bin": "c788d592",
+  "webgpu/shader/execution/exp.bin": "a76c67ca",
+  "webgpu/shader/execution/exp2.bin": "a5b443c5",
+  "webgpu/shader/execution/faceForward.bin": "75f1f377",
+  "webgpu/shader/execution/floor.bin": "8aea5f9c",
+  "webgpu/shader/execution/fma.bin": "8682909f",
+  "webgpu/shader/execution/fract.bin": "ff3283f0",
+  "webgpu/shader/execution/frexp.bin": "9639418e",
+  "webgpu/shader/execution/inverseSqrt.bin": "9de3fa15",
+  "webgpu/shader/execution/ldexp.bin": "43fde30e",
+  "webgpu/shader/execution/length.bin": "24b87c1a",
+  "webgpu/shader/execution/log.bin": "c8447a16",
+  "webgpu/shader/execution/log2.bin": "bcefcef6",
+  "webgpu/shader/execution/max.bin": "bbd522ab",
+  "webgpu/shader/execution/min.bin": "4687f034",
+  "webgpu/shader/execution/mix.bin": "e79fc2e8",
+  "webgpu/shader/execution/modf.bin": "feedecc3",
+  "webgpu/shader/execution/normalize.bin": "78e7c0",
   "webgpu/shader/execution/pack2x16float.bin": "e472a927",
-  "webgpu/shader/execution/pow.bin": "c5a2a9c1",
-  "webgpu/shader/execution/quantizeToF16.bin": "8d1cb7a6",
-  "webgpu/shader/execution/radians.bin": "94cbdf6c",
-  "webgpu/shader/execution/reflect.bin": "39a479a0",
-  "webgpu/shader/execution/refract.bin": "63e5b11a",
-  "webgpu/shader/execution/round.bin": "13bf324",
-  "webgpu/shader/execution/saturate.bin": "c368b1a7",
-  "webgpu/shader/execution/sign.bin": "5cd05b5c",
-  "webgpu/shader/execution/sin.bin": "85679e",
-  "webgpu/shader/execution/sinh.bin": "eaa61750",
-  "webgpu/shader/execution/smoothstep.bin": "bd06d7cc",
-  "webgpu/shader/execution/sqrt.bin": "997f5572",
-  "webgpu/shader/execution/step.bin": "87505049",
-  "webgpu/shader/execution/tan.bin": "9d7ca121",
-  "webgpu/shader/execution/tanh.bin": "8bfa913c",
-  "webgpu/shader/execution/transpose.bin": "7f8fa4c6",
-  "webgpu/shader/execution/trunc.bin": "9a054523",
-  "webgpu/shader/execution/unpack2x16float.bin": "ed71c71d",
-  "webgpu/shader/execution/unpack2x16snorm.bin": "89b4cd2d",
-  "webgpu/shader/execution/unpack2x16unorm.bin": "df3b3851",
-  "webgpu/shader/execution/unpack4x8snorm.bin": "aa10073",
-  "webgpu/shader/execution/unpack4x8unorm.bin": "2fe14b98",
-  "webgpu/shader/execution/unary/af_arithmetic.bin": "accfc1bd",
-  "webgpu/shader/execution/unary/af_assignment.bin": "cb3e120e",
+  "webgpu/shader/execution/pow.bin": "38d0ff7",
+  "webgpu/shader/execution/quantizeToF16.bin": "5496ab3",
+  "webgpu/shader/execution/radians.bin": "db736290",
+  "webgpu/shader/execution/reflect.bin": "b08379ba",
+  "webgpu/shader/execution/refract.bin": "d360cf82",
+  "webgpu/shader/execution/round.bin": "3d2c318e",
+  "webgpu/shader/execution/saturate.bin": "33892d9c",
+  "webgpu/shader/execution/sign.bin": "8a54e6ec",
+  "webgpu/shader/execution/sin.bin": "f0cd3a32",
+  "webgpu/shader/execution/sinh.bin": "4d1b0134",
+  "webgpu/shader/execution/smoothstep.bin": "a3b004be",
+  "webgpu/shader/execution/sqrt.bin": "dd8a5970",
+  "webgpu/shader/execution/step.bin": "eec1579d",
+  "webgpu/shader/execution/tan.bin": "612d43b",
+  "webgpu/shader/execution/tanh.bin": "6f95242c",
+  "webgpu/shader/execution/transpose.bin": "b1a9a7f7",
+  "webgpu/shader/execution/trunc.bin": "cdf5939e",
+  "webgpu/shader/execution/unpack2x16float.bin": "b992957a",
+  "webgpu/shader/execution/unpack2x16snorm.bin": "394e0942",
+  "webgpu/shader/execution/unpack2x16unorm.bin": "78f0ef3c",
+  "webgpu/shader/execution/unpack4x8snorm.bin": "926f3f3e",
+  "webgpu/shader/execution/unpack4x8unorm.bin": "3640a996",
+  "webgpu/shader/execution/unary/af_arithmetic.bin": "bf05a1b1",
+  "webgpu/shader/execution/unary/af_assignment.bin": "d711e244",
   "webgpu/shader/execution/unary/bool_conversion.bin": "d0c1e5a3",
-  "webgpu/shader/execution/unary/f16_arithmetic.bin": "310a05dd",
-  "webgpu/shader/execution/unary/f16_conversion.bin": "9d94aa72",
-  "webgpu/shader/execution/unary/f32_arithmetic.bin": "fe955d67",
-  "webgpu/shader/execution/unary/f32_conversion.bin": "918f6cb3",
+  "webgpu/shader/execution/unary/f16_arithmetic.bin": "6095e89f",
+  "webgpu/shader/execution/unary/f16_conversion.bin": "76546200",
+  "webgpu/shader/execution/unary/f32_arithmetic.bin": "a16e7cf4",
+  "webgpu/shader/execution/unary/f32_conversion.bin": "62604b96",
   "webgpu/shader/execution/unary/i32_arithmetic.bin": "a8649cbb",
   "webgpu/shader/execution/unary/i32_conversion.bin": "e5157a69",
   "webgpu/shader/execution/unary/u32_conversion.bin": "d07d0c20",
   "webgpu/shader/execution/unary/ai_assignment.bin": "f62c765c",
   "webgpu/shader/execution/binary/ai_arithmetic.bin": "43501242",
   "webgpu/shader/execution/unary/ai_arithmetic.bin": "8e448c53",
-  "webgpu/shader/execution/binary/af_matrix_matrix_multiplication.bin": "7ea0df71",
-  "webgpu/shader/execution/binary/af_matrix_scalar_multiplication.bin": "4919c460",
-  "webgpu/shader/execution/binary/af_matrix_vector_multiplication.bin": "33c10dad"
+  "webgpu/shader/execution/binary/af_matrix_matrix_multiplication.bin": "c57c159e",
+  "webgpu/shader/execution/binary/af_matrix_scalar_multiplication.bin": "d21017f3",
+  "webgpu/shader/execution/binary/af_matrix_vector_multiplication.bin": "ddd2f83a"
 }
\ No newline at end of file
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,