Nibcode Solutions Blog

Linear transformations are one of the key concepts of Linear Algebra, and they are considered the most useful part of this branch of mathematics. A linear transformation is a mapping between two vector spaces that preserves linearity.

There are some important concepts students must master to solve linear transformation problems, like kernel, image, nullity, and rank of a linear transformation. This problem of the week will deal with the kernel (the set of vectors in the starting vector space which are transformed to the zero vector) and nullity of a linear transformation, and its solution only requires to know how to work with matrices and make elementary row operations.