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.
As the population grew so did wants and needs. Manufacturers realized that bulk production was cheaper, more efficient and provided the quantity of items needed. As a result more and more factories sprang up. Factory work is very different from other types of labor.The introduction of the factory system had a negative effect on living conditions. Factory owners who believed in Social Darwinism and Rugged Individualism did not care much about those who worked in their factories.They believed that if the workers wanted to improve their; lives they had to do it on their own.s the population grew so did wants and needs. Manufacturers realized that bulk production was cheaper, more efficient and provided the quantity of items needed. As a result more and more factories sprang up. Factory work is very different from other types of labor.