Note that the derivatives here are linear transformation and not numbers.

In general, the action of a linear transformation may be quite complex.

This is due to a negative sign in the linear transformation between them.

However in summary, a linear transformation can just be thought of as a matrix.

The binomial transform is another linear transformation of a still more general type.

Coding is a simple linear transformation of the original measurement scale.

Since the cross product is a linear transformation, it can be represented as a matrix.

The family of normal distributions is closed under linear transformations.

However, the set of nearest-neighbours can be quite different after passing all the points through a linear transformation.

The effect of convolution can be expressed as a linear transformation.