diff --git a/src/front/wgsl/construction.rs b/src/front/wgsl/construction.rs
index f675b12e15..ca43894e2b 100644
--- a/src/front/wgsl/construction.rs
+++ b/src/front/wgsl/construction.rs
@@ -184,12 +184,15 @@ fn parse_constructor_type<'a>(
             Ok(Some(ConstructorType::Vector { size, kind, width }))
         }
         (Token::Paren('<'), ConstructorType::PartialMatrix { columns, rows }) => {
-            let (_, width) = lexer.next_scalar_generic()?;
-            Ok(Some(ConstructorType::Matrix {
-                columns,
-                rows,
-                width,
-            }))
+            let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
+            match kind {
+                ScalarKind::Float => Ok(Some(ConstructorType::Matrix {
+                    columns,
+                    rows,
+                    width,
+                })),
+                _ => Err(Error::BadMatrixScalarKind(span, kind, width)),
+            }
         }
         (Token::Paren('<'), ConstructorType::PartialArray) => {
             lexer.expect_generic_paren('<')?;
diff --git a/src/front/wgsl/mod.rs b/src/front/wgsl/mod.rs
index 04f115fbe8..7379b51fd6 100644
--- a/src/front/wgsl/mod.rs
+++ b/src/front/wgsl/mod.rs
@@ -130,6 +130,7 @@ pub enum Error<'a> {
     BadFloat(Span, BadFloatError),
     BadU32Constant(Span),
     BadScalarWidth(Span, Bytes),
+    BadMatrixScalarKind(Span, crate::ScalarKind, u8),
     BadAccessor(Span),
     BadTexture(Span),
     BadTypeCast {
@@ -296,12 +297,20 @@ impl<'a> Error<'a> {
                 labels: vec![(bad_span.clone(), "expected unsigned integer".into())],
                 notes: vec![],
             },
-
             Error::BadScalarWidth(ref bad_span, width) => ParseError {
                 message: format!("invalid width of `{}` bits for literal", width as u32 * 8,),
                 labels: vec![(bad_span.clone(), "invalid width".into())],
                 notes: vec!["the only valid width is 32 for now".to_string()],
             },
+            Error::BadMatrixScalarKind(
+                ref span,
+                kind,
+                width,
+             ) => ParseError {
+                message: format!("matrix scalar type must be floating-point, but found `{}`", kind.to_wgsl(width)),
+                labels: vec![(span.clone(), "must be floating-point (e.g. `f32`)".into())],
+                notes: vec![],
+            },
             Error::BadAccessor(ref accessor_span) => ParseError {
                 message: format!(
                     "invalid field accessor `{}`",
@@ -2901,6 +2910,23 @@ impl Parser {
         Ok((members, span))
     }
 
+    fn parse_matrix_scalar_type<'a>(
+        &mut self,
+        lexer: &mut Lexer<'a>,
+        columns: crate::VectorSize,
+        rows: crate::VectorSize,
+    ) -> Result<crate::TypeInner, Error<'a>> {
+        let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
+        match kind {
+            crate::ScalarKind::Float => Ok(crate::TypeInner::Matrix {
+                columns,
+                rows,
+                width,
+            }),
+            _ => Err(Error::BadMatrixScalarKind(span, kind, width)),
+        }
+    }
+
     fn parse_type_decl_impl<'a>(
         &mut self,
         lexer: &mut Lexer<'a>,
@@ -2912,6 +2938,7 @@ impl Parser {
         if let Some((kind, width)) = conv::get_scalar_type(word) {
             return Ok(Some(crate::TypeInner::Scalar { kind, width }));
         }
+
         Ok(Some(match word {
             "vec2" => {
                 let (kind, width) = lexer.next_scalar_generic()?;
@@ -2938,77 +2965,44 @@ impl Parser {
                 }
             }
             "mat2x2" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Bi,
-                    rows: crate::VectorSize::Bi,
-                    width,
-                }
+                self.parse_matrix_scalar_type(lexer, crate::VectorSize::Bi, crate::VectorSize::Bi)?
             }
             "mat2x3" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Bi,
-                    rows: crate::VectorSize::Tri,
-                    width,
-                }
-            }
-            "mat2x4" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Bi,
-                    rows: crate::VectorSize::Quad,
-                    width,
-                }
+                self.parse_matrix_scalar_type(lexer, crate::VectorSize::Bi, crate::VectorSize::Tri)?
             }
+            "mat2x4" => self.parse_matrix_scalar_type(
+                lexer,
+                crate::VectorSize::Bi,
+                crate::VectorSize::Quad,
+            )?,
             "mat3x2" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Tri,
-                    rows: crate::VectorSize::Bi,
-                    width,
-                }
-            }
-            "mat3x3" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Tri,
-                    rows: crate::VectorSize::Tri,
-                    width,
-                }
-            }
-            "mat3x4" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Tri,
-                    rows: crate::VectorSize::Quad,
-                    width,
-                }
-            }
-            "mat4x2" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Quad,
-                    rows: crate::VectorSize::Bi,
-                    width,
-                }
-            }
-            "mat4x3" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Quad,
-                    rows: crate::VectorSize::Tri,
-                    width,
-                }
-            }
-            "mat4x4" => {
-                let (_, width) = lexer.next_scalar_generic()?;
-                crate::TypeInner::Matrix {
-                    columns: crate::VectorSize::Quad,
-                    rows: crate::VectorSize::Quad,
-                    width,
-                }
+                self.parse_matrix_scalar_type(lexer, crate::VectorSize::Tri, crate::VectorSize::Bi)?
             }
+            "mat3x3" => self.parse_matrix_scalar_type(
+                lexer,
+                crate::VectorSize::Tri,
+                crate::VectorSize::Tri,
+            )?,
+            "mat3x4" => self.parse_matrix_scalar_type(
+                lexer,
+                crate::VectorSize::Tri,
+                crate::VectorSize::Quad,
+            )?,
+            "mat4x2" => self.parse_matrix_scalar_type(
+                lexer,
+                crate::VectorSize::Quad,
+                crate::VectorSize::Bi,
+            )?,
+            "mat4x3" => self.parse_matrix_scalar_type(
+                lexer,
+                crate::VectorSize::Quad,
+                crate::VectorSize::Tri,
+            )?,
+            "mat4x4" => self.parse_matrix_scalar_type(
+                lexer,
+                crate::VectorSize::Quad,
+                crate::VectorSize::Quad,
+            )?,
             "atomic" => {
                 let (kind, width) = lexer.next_scalar_generic()?;
                 crate::TypeInner::Atomic { kind, width }
diff --git a/tests/wgsl-errors.rs b/tests/wgsl-errors.rs
index bd733d946e..db7da613c7 100644
--- a/tests/wgsl-errors.rs
+++ b/tests/wgsl-errors.rs
@@ -810,6 +810,39 @@ fn module_scope_identifier_redefinition() {
     );
 }
 
+#[test]
+fn matrix_with_bad_type() {
+    check(
+        r#"
+            fn main() {
+                let m = mat2x2<i32>();
+            }
+        "#,
+        r#"error: matrix scalar type must be floating-point, but found `i32`
+  ┌─ wgsl:3:32
+  │
+3 │                 let m = mat2x2<i32>();
+  │                                ^^^ must be floating-point (e.g. `f32`)
+
+"#,
+    );
+
+    check(
+        r#"
+            fn main() {
+                let m: mat3x3<i32>;
+            }
+        "#,
+        r#"error: matrix scalar type must be floating-point, but found `i32`
+  ┌─ wgsl:3:31
+  │
+3 │                 let m: mat3x3<i32>;
+  │                               ^^^ must be floating-point (e.g. `f32`)
+
+"#,
+    );
+}
+
 /// Check the result of validating a WGSL program against a pattern.
 ///
 /// Unless you are generating code programmatically, the