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.
There are four main types of industrial production methods: 1  One-off production is when only one product is made at a time. 2  Every product is different so it is labour intensive. 3  Products may be made by hand or a combination of hand and machine methods.