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.
Bethlehem became a center of heavy industry and trade during the industrial revolution. The Bethlehem Steel Corporation (1857â2003), founded and based in Bethlehem, was once the second-largest steel producer in the United States, after Pittsburgh, Pennsylvania-based U.S. Steel.