MATH 240 Midterm: MATH 240 NIU Test3sample

• School: NIU
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

Sample questions for exam 3 on 11/30/2007: let l : r5 r4 be the linear transformation de ned by l(x) = ax, for the matrix. {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be the standard basis for r3, and let t be the basis {(1, 0, 0), (0, 1. Use the gram-schmidt process to nd an orthonormal basis for w : let m22 be the vector space of all 2 2 matrices. ||u + v||2 + ||u v||2 = 2||u||2 + 2||v||2: let s = {u1, u2, . , un} be an orthogonal set of nonzero vectors in an inner product space v .