CSS - gradient over a cover image?

How can I have a gradient layer over a cover image?

For instance:

header {
  position: relative;
  height: 300px;
  background-repeat: no-repeat;
  background-position: center bottom;
  background-image: url('http://www.planwallpaper.com/static/images/Free-Wallpaper-Nature-Scenes.jpg');
  background-size: cover;
  border-bottom-left-radius: 50%;
  border-bottom-right-radius: 50%;
}

h1 {
  margin: 0;
  padding: 100px 0;
  font: 44px "Arial";
  text-align: center;
}

header h1 {
  color: white;
}

<header>
  <h1>Header Content</h1>
</header>

<section>
  <h1>Section Content</h1>
</section>

I want this gradient over that image:

background-image: linear-gradient(to bottom right, #002f4b, #dc4225);

Is it possible?

CSS - gradient over a cover image?

4 Answers