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.
1: China is the largest producer of emissions in the world, according to the latest ranking from risk management consultancy Maplecroft. China emits about 6,018 million tons of greenhouse gases per year. REUTERS/Jason Lee. Monday, December 07, 2009. 1: China is the largest producer of emissions in the world, according to the latest ranking from risk management consultancy Maplecroft.