b2 Figure 1: Two bases Problem 5. In Figure 1 on the last page of this document you will find two bases of R2, one blue and one purple: B = {b, b2}, C = {c, cz} For each basis a coordinate grid is shown in the corresponding color. The coordinate grids are drown in the increments of 1/10 with the multiples of 1/2 emphasized with slightly thicker lines. Based on the information provided in the picture, perform the following tasks. (i) Give good estimates for [ru]g [ru]e, (r2] [] [ru] (ii) Give good estimates for the change-of-coordinates matrices: P P CEB BC (iii) Use the coordinates found in (i) to verify the matrices found in (ii). b2 Figure 1: Two bases Problem 5. In Figure 1 on the last page of this document you will find two bases of R2, one blue and one purple: B = {b, b2}, C = {c, cz} For each basis a coordinate grid is shown in the corresponding color. The coordinate grids are drown in the increments of 1/10 with the multiples of 1/2 emphasized with slightly thicker lines. Based on the information provided in the picture, perform the following tasks. (i) Give good estimates for [ru]g [ru]e, (r2] [] [ru] (ii) Give good estimates for the change-of-coordinates matrices: P P CEB BC (iii) Use the coordinates found in (i) to verify the matrices found in (ii)