The image is the set of all points in $\mathbb{R}^4$ that you get by multiplying this matrix to points in $\mathbb{R}^5$, you can find these by checking the matrix on the standard basis. The kernel is the set of all points in $\mathbb{R}^5$ such that, multiplying this matrix with them gives the zero vector.
These seven companies alone have produced almost one-fifth (18.7 percent) of all industrial carbon released into the atmosphere since the dawn of the Industrial Revolution.
The United States Steel Corporation, more commonly known as U.S. Steel, is an American integrated steel producer headquartered in Pittsburgh, Pennsylvania, with production operations in the United States, Canada, and Central Europe. As of 2016, the company was the world's 24th largest steel producer and second largest domestic producer, trailing only Nucor Corporation. Though renamed USX Corporation in 1986, the company returned to its present name in 2001 after spinning off its energy business,