What is the matrix of $f$ in the canonical bases of the two spaces?

Let v be a vector in the standard basis, and A a linear map that sends this vector unto another vector w (still in the standard basis).

rowspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

colspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

rowspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

colspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

Here we can clearly see the bivalent role of A. It can be seen either as a linear map, a bilinear form or a bivector, because in the standard basis, they are all described by the same matrix (the dual standard basis is itself).

What is the matrix of $f$ in the canonical bases of the two spaces?

Let v be a vector in the standard basis, and A a linear map that sends this vector unto another vector w (still in the standard basis).

rowspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

colspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

rowspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

colspace takes as argument the matrix A of a linear function f with respect to the canonical basis.

The non-canonical deoxynucleoside triphosphate is incorporated into the synthesized DNA in place of a portion of only one canonical deoxynucleoside triphosphate.

In the example above, we link the non-canonical page to the canonical version.