MATH 415 Study Guide - Final Guide: Null Character, Identity Matrix, Linear Algebra

• School: University of Illinois
• Department: Mathematics
• Course: MATH 415
• Professor: J Li

Document Summary

Computations: in each of the following, nd the closest point to y in the subspace spanned by v1 and v2 (that is, project y onto the subspace spanned by v1 and v2): , v2 = (1) y = (2) y = Solution. (1) here we project y onto span{v1, v2} using the fact that v1 v2 = 0: y v1 v1 v1 v1 + y v2 v2 v2 v2 = 1 (2) again, we project y onto span{v1, v2} using the fact that v1 v2 = 0: y v1 v1 v1 v1 + y v2 v2 v2 v2 = 3. 9 (cid:3: let w = span. 0 be a subspace of r4. on the subspace w . (b) find the projection matrix p corresponding to the projection onto w . (c) use the projection matrix p to nd the projection of. Tutoring room (343 altgeld hall): monday 4-8pm, tuesday 6-8pm, wednesday 4-8, thursday 4-6.