MTH 162 Midterm: MTH 162 University of Rochester 162 Midterm 1 Solutions

• School: University of Rochester
• Department: Mathematics
• Course: MTH 162
• Professor: All

Document Summary

Friedmann: the presence of calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden, show your work and justify your answers. You may not receive full credit for a correct answer if insu cient work is shown or insu cient justi cation is given: clearly circle or label your nal answers, on those questions for which it is appropriate. Suppose that v is nite dimensional and let s : v v and t : v v be linear operators. Prove that st is invertible if and only if both s and t are invertible. Math 235 (linear algebra: (10 points) in r2, let = {(1, 2), (3, 4)} and = {(2, 4), (4, 6)}. Find the change of coordinate matrix that changes coordinates into coordinates. Math 235 (linear algebra: (10 points) suppose a is a matrix and its row reduced echelon form is.