## Math 314, Linear Algebra With Applications, Spring 2008

#### Week One, January 21-24, 2008

• Monday: M. L. King Jr. holiday.
• Wednesday: Systems of Linear Equations. §1.1
• Friday: Equivalent systems. Back solving. Matrices. Row operations. Upper triangular systems. §1.2
• Homework 1, revised Tuesday 1/29 due February 1 at class time. (You can fax it in, but still before 1PM.) Matlab not needed on this assignment.
• HW1 ans, revised 2/13/2008
• Do pivots need to be ones? The book thinks so. Read the short Variations on Row Echelon Form.
• Wikipedia on row echelon form.
• I will be posting very complete answer keys at the end of the day the assignments are due. Hence the next item.
• NO LATE HOMEWORK will be accepted.
• The two lowest HW scores will be dropped. Talk to me if you miss three or more assignments for unexpected reasons.
• For current office hours, etc, use the Department Faculty Directory. You can make appointments to see me outside of the official office hours.

#### Week Three February 4-8, 2008

• Monday: multiplication by a scalar. Definition of inverse matrices. Elementary matrices. §1.4
• Wednesday: Algorithm to invert matrices. Products of elementary matrices. Row Equivalence. Solutions to Ax=0. §1.4
• Some had trouble finding where Leon put the item indexed "inverse, computation of" . Try page 48, in the middle of the paragraph above Example 4.
• Friday: Row Equivalence. Solutions to Ax=0. §1.4

#### Week Six February 25-29, 2008

• Monday, February 25, Midterm I
• Mid I ans.
• Wednesday: spanning, linear combinations §3.2
• Friday: Subspaces. §3.2
• Homework 5, due March 7. See posting under next Wednesday.
• HW5 ans.

#### Week Ten March 31 - April 4, 2008

• Monday: Linear Transformation. Preserving structure of linear combintations. Kernel. Image. → § 4.1.
• Wednesday: Matrix represention of a linear transformation. → § 4.2
• Homework 8 April 9.
• Friday: Change of basis and linear transformations → § 4.3.
Overall list of topics | Suggested practice problems

#### Week Eleven April 7-11, 2008

• Monday: Similarity → § 4.3.
• Wednesday: The scalar product (dot product) → § 5.1
• Friday: Orthogonal subscpaces → § 5.2

#### Week Twelve April 14-18, 2008

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• Friday, April 18, Midterm II ????

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