MATH341 Midterm: MATH341-07S-exam3

• School: University of Delaware
• Department: Mathematics
• Course: MATH341
• Professor: All

Document Summary

Please clearly erase or cross out irrelevant work; otherwise it will be part of the graded material. You must justify answers to receive full credit. You may not use calculators or notes: (15 points) given a = . E3e2e1a = u for an upper triangular u : (15 points) consider a homogeneous linear system ax = 0 with coe cient matrix. Is {a1, , a5} linearly independent: (20 points) given u1 = . 1 (a) find the transition matrix from the standard basis [e1, e2, e3] to the basis [u1, u2, u3]. (b) given x = . , nd the coordinates of x with respect to [u1, u2, u3].