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.
FILE - In this Thursday, Aug. 31, 2017, file photo, workers produce vehicles at Volkswagen's lone U.S. plant in Chattanooga, Tenn. U.S. industrial output plunged 0.9 percent in August, the most in eight years, mostly because of Hurricane Harvey's damage to the oil refining, plastics and chemicals industries.