Weeks 5 - Section 4.2 and Section 4.3 - June 21 - June 25

Textbook Readings	Video	Lecture Notes
Section 4.2 Null Spaces, Column Spaces, and Linear Transformations (pp. 200 - 210)	Section 4.2 Video	Section 4.2 Lecture notes
Section 4.3 Linearly Independence Sets; Basis (pp. 210 - 218)	Section 4.3 Video	Section 4.3 Lecture notes

Section 4.2 Null Spaces, Column Spaces, and Linear Transformations	Section 4.3 Linearly Independence Sets; Basis
Discuss definition of null space of matrix A. Compute a basis and write vectors in parametric form. Definition of column space of matrix A and discuss representation. Discussion of subspaces and relationship with null and column spaces.	Definition of Linearly Independent sets for vectors (general definition) in Vector Spaces. Definition of Bases in Vector Space and discuss standard basis for Rn and Pn. Compute basis for null space of matrix A and basis for column space of matrix A and relationship with rref of A.
Download section 4.2 lecture notes and watch the video. Practice the textbook problems (Not Graded) 1, 3, 5, 7, 10, 17, 19, 23, 27 Worksheet for Section 4.2. Use the Assignments tool within Brightspace. Due: 11:55pm June 22 Use the Discussion tool within Brightspace to ask questions.	Download section 4.3 lecture notes and watch video. Practice the textbook problems (Not Graded) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37 Worksheet for Section 4.3. Use the Assignments tool within Brightspace. Due: 11:55pm June 22 Use the Discussion tool within Brightspace to ask questions.
WeBWorK for Sections 4.2 and 4.3 Due: 11:55pm June 25