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.
U.S. factory workers do have one critical advantage over others: They're really productive. In fact, U.S. factory workers produce $73.45 per hour in output, one-third more than German factory workers and twice as much as workers in Taiwan, according to the BLS.erman factory workers, on the other hand, enjoy a higher quality of life than American manufacturing workers. Their wages are 11 percent higher than those in the U.S. -- largely because their unions are more powerful.