#007 Linear Algebra - Change of basis - Master Data Science

In the following image we can see an alternative basis for one coordinate system and those are basis vectors \(\vec{b}_{1} \) and \(\vec{b}_{2} \). On the other hand, in this different alternative coordinate system it is represented with coordinates \(-1 \) because that's how much we have to scale vector \(\vec{b}_{1} \) and it's scaled with \(2 \) along \(\vec{b}_{2} \), cause that's how we much we have to scale our \(\vec{b}_{2} \) vector.