Is it correct to check if a Private key and a Certificate match, by creating the private key's public key and checking equality?

Question

Is the below java code valid:

  public static boolean matchKeys(PrivateKey privKey, X509Certificate c1)
  {
    try {
      RSAPrivateCrtKey privk = (RSAPrivateCrtKey)privKey;
      RSAPublicKeySpec publicKeySpec = new RSAPublicKeySpec(
          privk.getModulus(), privk.getPublicExponent());

      KeyFactory keyFactory = KeyFactory.getInstance("RSA");
      PublicKey publicKey = keyFactory.generatePublic(publicKeySpec);

      System.out.println("MATCH ?"+publicKey.equals(c1.getPublicKey()));
      return publicKey.equals(c1.getPublicKey());
    } catch (NoSuchAlgorithmException | InvalidKeySpecException |
             IllegalArgumentException e)
    {
      e.printStackTrace();
      return false;
    }

  }