MATH 21A Final: MATH 20 Harvard 2004Fall20Final public
Document Summary
Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. 2: (15 points) determine if the matrix. 3 is invertible and if so, nd its inverse. In this and in any problem where you do gaussian elimination, label your row operations to receive full or partial credit. We do gaussian elimination on the matrix (cid:2) a i (cid:3). 3: (10 points) let s = {v1, . vr} and let v = span s. suppose u, w v . Show that u + w v . Linear algebra proofs, and proofs in general, are much stricter than they appear. What we are trying to show that if u and w are both linear combinations of {v1, . vr}, then so is their sum.
