MAT223H5 Study Guide - Midterm Guide: Row Echelon Form

• School: UTM
• Department: Mathematics
• Course: MAT223H5
• Professor: Marina Tvalavadze

Document Summary

You have 50 minutes to complete the test. No calculators, books or other aids besides a single sided standard page of notes will be permitted. Problem 1. (10 points: are the following matrices in echelon form, reduced echelon form or neither? (cid:34) i) (cid:35) 0 1 2 0: reduced echelon form, neither, neither ii) 3 is the augmented matrix of a linear system. Perform row operations on the matrix until in echelon form (cid:34) (cid:35) (cid:34) For the system to be consistent we must have h 3 = 0, therefore h = 3. Justify your answer (row operations are not necessary) Dependent: more vectors than entries: true or false: if a set of vectors in rn contains fewer vectors than there are entries in the vectors, then the set is linearly independent. (justify or give a counter example). The zero vector in rn for n 2.