Homework Ma 2071      Part One     Linear Systems and Matrix Algebra

all assignments refer to Kolman, Introductory Linear Algebra with Applications (6th ed)

Solutions manual for Kolman on reserve in the Library!

 

PART ONE: SYSTEMS OF EQUATIONS & MATRICES

Friday, 1/9:                          page 9:   1-14 all,    page 65:       8-14 all           Gauss-Jordan elimination

Monday, 1/12:                          page 31:   15-20 all,    page 66:       15-18,21,22 all           RREF; General Solutions; rank

Tuesday, 1/13:                          page 65:   1,    page 83:       11,12,21        page 30 1-9 all    systems, matrix arithmetic

Thursday, 1/15:                          page 44:   8-13,15, T.7,T.8                     Matrix Algebra

PART TWO VECTOR SPACES

4.7                 265             Coordinate Systems             1-4

4.4                 234            testing for a basis/coordinate system            1,2,3,4ab,7-10

Thursday, Feb 5. See handout from class

PART THREE DIAGONALIZATION AND THE PRINCIPAL AXIS THEOREM

5.1              310       Diagonalization                    1-21 all,22-26 (for 2/16) as well as T.9 and T.10

Class Discussion: Tuesday, Feb 17. Stability of Dynamical Systems. See examples here

5.2              322      Symmetric Matrices              1,2, 7-15 odds, T.4, T.8a

Supplementary Exercises 324                                1-6 all