Linguine with Beef and Onions

INGREDIENTS

• 1 tablespoon olive oil
• 1 large onion, finely chopped
• 1 carrot, halved lengthwise and sliced 1/4 inch thick
• 2 garlic cloves, minced
• Coarse salt and ground pepper
• 8 ounces leftover beef brisket, cut into bite-size pieces Braised Brisket
• 1 can (14.5 ounces) reduced-sodium chicken broth
• 8 ounces linguine
• 1/3 cup grated Parmesan cheese, plus more for topping (optional)