Coordinates and change of basis
General · Mathematics
Study notes
Q: B = {(1,1),(1,-1)}. Find [v]_B for v = (3,1), then change to standard. [v]_B = (2,1) (from before!). P (B→standard): columns are B vectors: [[1,1],[1,-1]]. [v]_std = P[v]_B = [[1,1],[1,-1]][2,1]ᵀ = (3,1) ✓! (Change of basis: multiply by P!)