diff --git a/Sources/SwiftMath/MathRender/MTMathAtomFactory.swift b/Sources/SwiftMath/MathRender/MTMathAtomFactory.swift
index 6372627..fc4d9ff 100644
--- a/Sources/SwiftMath/MathRender/MTMathAtomFactory.swift
+++ b/Sources/SwiftMath/MathRender/MTMathAtomFactory.swift
@@ -792,7 +792,14 @@ public class MTMathAtomFactory {
         "Bmatrix": ["{", "}"],
         "vmatrix": ["vert", "vert"],
         "Vmatrix": ["Vert", "Vert"],
-        "smallmatrix": []
+        "smallmatrix": [],
+        // Starred versions with optional alignment
+        "matrix*": [],
+        "pmatrix*": ["(", ")"],
+        "bmatrix*": ["[", "]"],
+        "Bmatrix*": ["{", "}"],
+        "vmatrix*": ["vert", "vert"],
+        "Vmatrix*": ["Vert", "Vert"]
     ]
     
     /** Builds a table for a given environment with the given rows. Returns a `MTMathAtom` containing the
@@ -802,9 +809,9 @@ public class MTMathAtomFactory {
      @note The reason this function returns a `MTMathAtom` and not a `MTMathTable` is because some
      matrix environments are have builtin delimiters added to the table and hence are returned as inner atoms.
      */
-    public static func table(withEnvironment env: String?, rows: [[MTMathList]], error:inout NSError?) -> MTMathAtom? {
+    public static func table(withEnvironment env: String?, alignment: MTColumnAlignment? = nil, rows: [[MTMathList]], error:inout NSError?) -> MTMathAtom? {
         let table = MTMathTable(environment: env)
-        
+
         for i in 0..<rows.count {
             let row = rows[i]
             for j in 0..<row.count {
@@ -837,6 +844,13 @@ public class MTMathAtomFactory {
                     }
                 }
 
+                // Apply alignment for starred matrix environments
+                if let align = alignment {
+                    for col in 0..<table.numColumns {
+                        table.set(alignment: align, forColumn: col)
+                    }
+                }
+
                 if delims.count == 2 {
                     let inner = MTInner()
                     inner.leftBoundary = Self.boundary(forDelimiter: delims[0])
diff --git a/Sources/SwiftMath/MathRender/MTMathListBuilder.swift b/Sources/SwiftMath/MathRender/MTMathListBuilder.swift
index 1af8dd9..dca3d23 100644
--- a/Sources/SwiftMath/MathRender/MTMathListBuilder.swift
+++ b/Sources/SwiftMath/MathRender/MTMathListBuilder.swift
@@ -15,11 +15,13 @@ struct MTEnvProperties {
     var envName: String?
     var ended: Bool
     var numRows: Int
-    
-    init(name: String?) {
+    var alignment: MTColumnAlignment?  // Optional alignment for starred matrix environments
+
+    init(name: String?, alignment: MTColumnAlignment? = nil) {
         self.envName = name
         self.numRows = 0
         self.ended = false
+        self.alignment = alignment
     }
 }
 
@@ -1084,7 +1086,16 @@ public struct MTMathListBuilder {
             return under
         } else if command == "begin" {
             if let env = self.readEnvironment() {
-                let table = self.buildTable(env: env, firstList: nil, isRow: false)
+                // Check if this is a starred matrix environment and read optional alignment
+                var alignment: MTColumnAlignment? = nil
+                if env.hasSuffix("*") {
+                    alignment = self.readOptionalAlignment()
+                    if self.error != nil {
+                        return nil
+                    }
+                }
+
+                let table = self.buildTable(env: env, alignment: alignment, firstList: nil, isRow: false)
                 return table
             } else {
                 return nil
@@ -1113,10 +1124,10 @@ public struct MTMathListBuilder {
             self.setError(.characterNotFound, message: "Missing {")
             return nil
         }
-        
+
         self.skipSpaces()
         let env = self.readString()
-        
+
         if !self.expectCharacter("}") {
             // We didn"t find an closing brace, so invalid format.
             self.setError(.characterNotFound, message: "Missing }")
@@ -1124,16 +1135,58 @@ public struct MTMathListBuilder {
         }
         return env
     }
+
+    /// Reads optional alignment parameter for starred matrix environments: [r], [l], or [c]
+    mutating func readOptionalAlignment() -> MTColumnAlignment? {
+        self.skipSpaces()
+
+        // Check if there's an opening bracket
+        guard hasCharacters && string[currentCharIndex] == "[" else {
+            return nil
+        }
+
+        _ = getNextCharacter()  // consume '['
+        self.skipSpaces()
+
+        guard hasCharacters else {
+            self.setError(.characterNotFound, message: "Missing alignment specifier after [")
+            return nil
+        }
+
+        let alignChar = getNextCharacter()
+        let alignment: MTColumnAlignment?
+
+        switch alignChar {
+        case "l":
+            alignment = .left
+        case "c":
+            alignment = .center
+        case "r":
+            alignment = .right
+        default:
+            self.setError(.invalidEnv, message: "Invalid alignment specifier: \(alignChar). Must be l, c, or r")
+            return nil
+        }
+
+        self.skipSpaces()
+
+        if !self.expectCharacter("]") {
+            self.setError(.characterNotFound, message: "Missing ] after alignment specifier")
+            return nil
+        }
+
+        return alignment
+    }
     
     func MTAssertNotSpace(_ ch: Character) {
         assert(ch >= "\u{21}" && ch <= "\u{7E}", "Expected non-space character \(ch)")
     }
     
-    mutating func buildTable(env: String?, firstList: MTMathList?, isRow: Bool) -> MTMathAtom? {
+    mutating func buildTable(env: String?, alignment: MTColumnAlignment? = nil, firstList: MTMathList?, isRow: Bool) -> MTMathAtom? {
         // Save the current env till an new one gets built.
         let oldEnv = self.currentEnv
 
-        currentEnv = MTEnvProperties(name: env)
+        currentEnv = MTEnvProperties(name: env, alignment: alignment)
         
         var currentRow = 0
         var currentCol = 0
@@ -1171,7 +1224,7 @@ public struct MTMathListBuilder {
         }
         
         var error:NSError? = self.error
-        let table = MTMathAtomFactory.table(withEnvironment: currentEnv?.envName, rows: rows, error: &error)
+        let table = MTMathAtomFactory.table(withEnvironment: currentEnv?.envName, alignment: currentEnv?.alignment, rows: rows, error: &error)
         if table == nil && self.error == nil {
             self.error = error
             return nil
@@ -1228,11 +1281,11 @@ public struct MTMathListBuilder {
     }
     
     mutating func readString() -> String {
-        // a string of all upper and lower case characters.
+        // a string of all upper and lower case characters (and asterisks for starred environments)
         var output = ""
         while self.hasCharacters {
             let char = self.getNextCharacter()
-            if char.isLowercase || char.isUppercase {
+            if char.isLowercase || char.isUppercase || char == "*" {
                 output.append(char)
             } else {
                 self.unlookCharacter()
diff --git a/Tests/SwiftMathTests/MTMathListBuilderTests.swift b/Tests/SwiftMathTests/MTMathListBuilderTests.swift
index 41524da..accc7c9 100644
--- a/Tests/SwiftMathTests/MTMathListBuilderTests.swift
+++ b/Tests/SwiftMathTests/MTMathListBuilderTests.swift
@@ -2344,19 +2344,46 @@ final class MTMathListBuilderTests: XCTestCase {
         let testCases = [
             ("\\begin{pmatrix*}[r] 1 & 2 \\\\ 3 & 4 \\end{pmatrix*}", "pmatrix* right align"),
             ("\\begin{bmatrix*}[l] a & b \\\\ c & d \\end{bmatrix*}", "bmatrix* left align"),
-            ("\\begin{vmatrix*}[c] x & y \\\\ z & w \\end{vmatrix*}", "vmatrix* center align")
+            ("\\begin{vmatrix*}[c] x & y \\\\ z & w \\end{vmatrix*}", "vmatrix* center align"),
+            ("\\begin{matrix*}[r] 10 & 20 \\\\ 30 & 40 \\end{matrix*}", "matrix* right align (no delimiters)")
         ]
 
         for (latex, desc) in testCases {
+            print("Testing: \(desc)")
+            print("  LaTeX: \(latex)")
             var error: NSError? = nil
             let list = MTMathListBuilder.build(fromString: latex, error: &error)
 
-            if list == nil || error != nil {
-                throw XCTSkip("Starred matrix environments (*matrix*) not implemented: \(desc). Error: \(error?.localizedDescription ?? "nil result")")
+            if let err = error {
+                print("  ERROR: \(err.localizedDescription)")
+            } else if list == nil {
+                print("  List is nil but no error")
+            } else {
+                print("  SUCCESS: Got \(list!.atoms.count) atoms")
             }
 
             let unwrappedList = try XCTUnwrap(list, "Should parse: \(desc)")
+            XCTAssertNil(error, "Should not error on \(desc): \(error?.localizedDescription ?? "")")
             XCTAssertTrue(unwrappedList.atoms.count >= 1, "\(desc) should have atoms")
+
+            // Verify we have a table structure
+            var foundTable = false
+            for atom in unwrappedList.atoms {
+                if atom.type == .table {
+                    foundTable = true
+                    break
+                }
+                // Check inside inner atoms (for matrices with delimiters)
+                if atom.type == .inner, let inner = atom as? MTInner, let innerList = inner.innerList {
+                    for innerAtom in innerList.atoms {
+                        if innerAtom.type == .table {
+                            foundTable = true
+                            break
+                        }
+                    }
+                }
+            }
+            XCTAssertTrue(foundTable, "\(desc) should contain a table structure")
         }
     }