University of Rhode Island Math 215 Linear Algebra

Week 3 - Section 2.2 and Section 2.3 - June 7 - June 11

Textbook Readings Video Lecture Notes

Section 2.2 - The Inverse of a Matrix (pp. 104 - 113) Section 2.2
Video Section 2.2
Lecture notes

Section 2.3 Characterizations of Invertible Matrices (pp. 113 - 119) Section 2.3
Video Section 2.3
Lecture notes

Section 2.2 - The Inverse of a Matrix Section 2.3 Characterizations of Invertible Matrices

The definition of inverse of a matrix is given. Notation, A^-1 is introduced. Not all matrices (including non-zero) have an inverse. Algorithm for computing the inverse of a matrix is introduced. Several theortical results are discussed, such as inverse of A^T and (AB)^-1. Elementary matrices are introduced. Discuss the Invertible Matrix Theorem. Relates concepts learned from previous sections, e.g. linear indepdendent columns, span, solution Ax=0.

Download section 2.2 lecture notes and watch the video.
Practice the textbook problems (Not Graded)
1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33
Worksheet for Section 2.2. Use the Assignments tool within Brightspace. Due: 11:55pm June 8
Use the Discussion tool within Brightspace to ask questions.
Resources

Compute Matrix Inverse
Ex2.2 - 1 and Ex2.2 - 1 Answer

Download section 2.3 lecture notes and watch video.
Practice the textbook problems (Not Graded)
1, 3, 7, 8, 9, 13, 15-17, 22
Worksheet for Section 2.3. Use the Assignments tool within Brightspace. Due: 11:55pm June 8
Use the Discussion tool within Brightspace to ask questions.

WeBWorK for Sections 2.2 and 2.3 Due: 11:55pm June 11

Textbook Readings	Video	Lecture Notes
Section 2.2 - The Inverse of a Matrix (pp. 104 - 113)	Section 2.2 Video	Section 2.2 Lecture notes
Section 2.3 Characterizations of Invertible Matrices (pp. 113 - 119)	Section 2.3 Video	Section 2.3 Lecture notes

Section 2.2 - The Inverse of a Matrix	Section 2.3 Characterizations of Invertible Matrices
The definition of inverse of a matrix is given. Notation, A^-1 is introduced. Not all matrices (including non-zero) have an inverse. Algorithm for computing the inverse of a matrix is introduced. Several theortical results are discussed, such as inverse of A^T and (AB)^-1. Elementary matrices are introduced.	Discuss the Invertible Matrix Theorem. Relates concepts learned from previous sections, e.g. linear indepdendent columns, span, solution Ax=0.
Download section 2.2 lecture notes and watch the video. Practice the textbook problems (Not Graded) 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33 Worksheet for Section 2.2. Use the Assignments tool within Brightspace. Due: 11:55pm June 8 Use the Discussion tool within Brightspace to ask questions. Resources Compute Matrix Inverse Ex2.2 - 1 and Ex2.2 - 1 Answer	Download section 2.3 lecture notes and watch video. Practice the textbook problems (Not Graded) 1, 3, 7, 8, 9, 13, 15-17, 22 Worksheet for Section 2.3. Use the Assignments tool within Brightspace. Due: 11:55pm June 8 Use the Discussion tool within Brightspace to ask questions.
WeBWorK for Sections 2.2 and 2.3 Due: 11:55pm June 11