Go to your website and add the following code within the <body> and </body> tags of the page(s) you wish to track visitors on:
<img src="https://www.linkedin.com/profile/view?authToken=zRgB&authType=name&id=XXXXX" />
You will just need to replace the XXXXX with your LinkedIn user ID. You can find this by logging into LinkedIn, clicking the Profile button and then taking the numerical code from the page URL that directly follows the text 'profile/view?id='.
Check your LinkedIn profile views a few days later to get a list of your website visitos.