Welcome! You have found the homepage of the Fall 2024 manifestation of Math 218.
We can calculate the projection of a vector v in the direction
of v1 with the syntax (v1*v)/(v1*v1) * v1.
We can calculate the component of a vector v in the direction
of v1 with the syntax (v1*v)/v1.norm().
The Gram-Schmidt algorithm is built into sage!
We can then use the Gram-Schmidt algorithm to calculate A=QR.