MTH 341 Final: MATH 341 Oregon State Final

• School: Oregon State University
• Department: Mathematics
• Course: MTH 341
• Professor: All

Document Summary

If you have any doubt about what you are supposed to do, ask. As always, show your work and provide reasons to support your conclusions. If you use a calculator for something, describe exactly how you used it and what result you obtained: i have checked for you that the matrices a and r below are row equivalent. V = { ~v | a~v = b~v }. Prove that your answer is correct: consider the matrix. 3/4 5/8 # . (a) (10 points) calculate m~v and m ~w where. 1 # . (b) (10 points) what are the eigenvalues of m ? (hint: the vectors ~v and ~w in part (a) are eigenvectors. ) (c) (15 points) write ~r = " 1. 0 # as a linear combination of ~v and ~w. That is, nd scalars k and such that ~r = k~v + ~w. (d) (5 points) calculate m 45~r.