## Nikhil Bansal

#### Lectures: Mondays  (Hours 1 and 2, i.e. 8:45 - 10:30)             Location:  Auditorium 5  Tuesdays  (Hours 1 and 2, i.e. 8:45 - 10:30)              Location:  Auditorium 7                 (We will not have lectures on some days, see detailed schedule below)Instruction:   Wednesdays 15:45 - 17:30  (hours 7 and 8)  in  Auditorium 16  and HG 6.09                    dr. E.F. Kaasschieter (Instructor), dr.ir. H.A. Wilbrink (Instructor)                     Non-Dutch students might prefer to go to the instruction of Dr. Kaasschieter in Aud 16.                     It is strongly recommended that you go to the instructions and solve all the problems.

Lecturer:  Nikhil Bansal - 9.01 HG.  Ph: 040 247 2299. Email:  n dot bansal at tue dot nl

Grading Policy:   Grade based on the final exam.
Exam Date: 29 June  2012.   Time 09:00 - 12:00  (Location TBD)
Resit Date: 16 August, 2012  (9h00-12h00)

Goals: Understand  the most important and basic notions of linear algebra.

Study material:

• #### Summary notes  (due to Rik Kaasschieter)

• Old practice examinations. Available with solutions.
• New:  Exam of June 29, with solutions.

Lectures:

(Tentative schedule,  will be updated as the course proceeds)

 Lecture Date/Location Topic Slides and Reading Material 1 Apr 23, Mo, Aud 5 Linear Systems and solving them  via elimination, Matrix, Row Echelon Form 1.1, 1.2, 2.1      Slides 2 Apr 24, Tu, Aud 7 Parameterized solutions, Vectors 2.2, 4.1  Slides Apr 25, We Instruction  1 Look at "study guide" above for problems. Apr 30,  Mo Holiday. No class 3 May 1, Tu, Aud 7 Span, Vector Spaces, Subspace, Linear independence, dimension, basis 4.2,4.3,4.4, 4.5, 4.6  Slides May 2, We No Instruction 4 May 7, Mo, Aud 5 Matrix Operations, elementary operations, matrix inverse 1.3, 1.4, 2.3  Slides 5 May 8, Tu, Aud 7 Matrix as a linear transformation; range, null space, rank-nullity 1.6, 4.7, 4.9  Slides May 9, We Instruction 2 6 May 14, Mo, Aud 5 More on transformations; Length, direction, inner products 6.6, 5.1, 5.3  Slides 7 May 15, Tu, Aud 7 Gram Schmidt orthogonalization 5.4 Slides May 16, We Instruction 3 8 May 29, Tu. Aud 5  (monday schedule) Orthogonal Complements, Least Squares 5.5, 5.6   Slides May 30, We Instruction 4 9 Jun 4, Mo, Aud 5 Determinants; properties; start cofactor adjoint 3.1, 3.2  Slides 10 Jun 5, Tu, Aud 7 Determinants; volumes; inverses 3.3, 3.4  Slides June 6, We Instruction 5 11 Jun 11, Mo, Aud 5 Eigenvalues and Eigenvectors; Diagonalization 7.1  Slides 12 Jun 12, Tu, Aud 7 Finish off Diagonalization 7.2, 7.3  Slides Jun 13, We Instruction 6 13 Jun 18, Mo, Aud 5 Recap Slides   (the "summary notes" above also have >90% overlap with things we covered) 14 Jun 19, Tu, Aud 7 Discussion of old exams Now available Jun 20, We Instruction 7