Linear Algebra (2018-2019)
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Some suggested material for consultation
Books:
G. Landi and A. Zampini, "Linear algebra and analytic geometry for physical sciences" (Springer)
P. R. Halmos, "Finite-Dimensional vector spaces" (Dover ed).
B. Orel, "Linearna Algebra" (link pdf)
A lecture on bilinear forms (A. Sorrentino 2006) (download here)
T. W. Judson (2015) Abstract Algebra
I. M. Gel'fand, "Lectures on Linear Algebra" (Dover ed. 1989)
Homeworks & tests:
Vector spaces, matrices, linear maps:
HW week 1: click here (pdf), (Sol. HW1, pdf)
HW week 2: click here (pdf), (Sol. HW2, pdf)
Test week 2, click here (pdf)
Determinants, matrix inversion, bilinear forms, systems of linear equations:
HW week 3 (1st part, 23/1/2019 (pdf)): click here (Short Answ. HW3, here, txt)
HW week 3 (2nd part, 25/1/2019 (pdf)): click here (Short Answ. HW3 2nd p, here, txt)
Test week 3-4, click here (pdf)
Diagonalization of endomorphisms:
HW week 4 (22/2/2019) click here (pdf), (Sol. HW4, pdf)
HW week 5 (01/3/2019) click here (pdf), (Sol. HW5, pdf)
HW week 6 (08/3/2019) click here (pdf), (Sol. HW6, pdf)
HW week 7 (15/3/2019) click here (pdf), (Sol. HW7, pdf)
Introduction to affine linear geometry
HW week 8 (22/3/2019) click here (pdf), (Sol. HW8, pdf)
(in case you'll not be able to attend lectures
you can send me your solutions/questions by email )
Other Exercises:
Notes and exercises (S. Fosson, 2014)
H. D. Ikramov, Linear Algebra problems book (Mir 1983).
Dates for exams:
First exam: 18.6.2019 at 9 a.m.
Exercises (pdf), Multiple choice quizzes (pdf) , Sol. Exer. (pdf)
Second exam: 3.7.2019 at 9 a.m.
Exercises (pdf), Multiple choice quizzes (pdf) , Sol. Exer. (pdf)
Third exam: 2.9.2019 at 9 a.m.
Exercises (pdf), Multiple choice quizzes (pdf) , Sol. Exer. (pdf)
General information for exams 2019/2020
Questions and exercises given at the exams will be based
on the materials (examples and exercises) proposed during the lessons and homeworks.
For the written exam a set of four exercises will be assigned to the students.
Moreover simple demonstrations or multiple choice quizzes will be assigned as oral examination.
During exams it is forbidden to consult linear algebra books.
Other/Curiosities:
applications of linear algebra
The cone in the picture shown at top of the page has been obtained by
using Octave: octave.pdf
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