The kernel is the "input that maps to zero," and the image is the "output that is actually obtained." Even if you know the definitions, you may sometimes struggle when writing out the answers as sets.

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...

In engineering classrooms, the disconnect between rigorous mathematical concepts and their practical applications can hinder ...

Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent ...