MATH 3A Study Guide - Midterm Guide: Row Echelon Form, Surjective Function, Linear Map
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MATH 3A Full Course Notes
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Consider the 4 5 matrix a and vector b r4 given by. 4 3 (a) find the solutions to ax = b for x r5. Exercise 2 (40=10+10+10+10 pts) (a) consider the map t : r3 r3 given by (x, y, z) (cid:55) (x + y + z, 2y + z, y + z). Is t onto (surjective)? (c) de ne c by. Compute ca. (d) let s : r3 r2 be the linear map which satis es. Find a 2 3 matrix b such that for all x r3 one has bx = t x.
