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.

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 ...

Linear algebra occupies a central position in the mathematical curriculum, bridging abstract theory and practical applications across science, engineering and data science. Teaching and learning in ...

A worksheet on solving simple linear equations including the cases where there are fractions and brackets. Detailed solutions are included. A bundle is a package of resources grouped together to teach ...

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

A worksheet on solving simultaneous equations where the one is linear and the other is quadratic. Detailed solutions are included. A bundle is a package of resources grouped together to teach a ...

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