The view that "linear algebra is just coordinate transformation" is a correct interpretation that captures the essence very ...

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

This diagram was in a certain book. I believe it is likely a diagram related to geometric analysis, but since I have never received a proper explanation or known its original source, it has remained a ...

To understand what is meant by a ‘transformation’. To understand what is meant by a linear transformation’. To be able to show that a given transformation is linear. To understand what is meant by an ...

This slide deck explores how linear transformations (i.e. ( Y = aX + b )) affect the expectation and variance of a random variable. Examples show how shifting and scaling a distribution translate or ...

Math 307 is a theoretical course in linear algebra, geared primarily for students majoring in mathematics, mathematics and physics, and applied mathematics. (Although everyone is welcome, if you're ...

The bulk of the computing in state-of-the-art neural networks comprises linear operations, e.g., matrix-vector multiplications and convolutions. Linear operations can also play an important role in ...