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.
Volkswagen factory in Wolfsburg, Germany. A factory (previously manufactory) or manufacturing plant is an industrial site, usually consisting of buildings and machinery, or more commonly a complex having several buildings, where workers manufacture goods or operate machines processing one product into another.