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УДК 512.64 + 514.12(075.8)
ББК 22.143я73 + 22.151я73
Б 23

Reviewers:
Gavrylkiv V. M. Candidate of Physical and Mathematical Sciences; Associate
Professor of Algebra and Geometry Department in Vasyl
Stephanyk Precarpathian National University;

Kryshtopa L. I. Candidate of Technical Sciences, Associate Professor of
Advanced Mathematics Department of Ivano-Frankivs’k
National Technical University of Oil and Gas

Recommended by the Methodical Council of Ivano-Frankivs’k national technical university of
oil and gas (protocol № 3 від 19.12.2013 р.)

Bandura A. I., Ovchar I. Ye.
Б 23 Elements of linear algebra and analytic geometry: lecture notes. – Ivano-Frankivs’k:
IFNTUOG, 2013. – 89 p.

MB 02070855-7079-2013

These lectures are written according to Advanced Mathematics syllabus. It provides a de-
tailed presentation of theoretical material in two sections of Mathematics: Linear Algebra and
Analytic Geometry.
A knowledge of mathematical methods is important for an increasing number of university
and college courses, particularly in physics, engineering and chemistry, but also in more general
sciences. In particular these methods are valuable in physics, engineering, chemistry and in other
areas. Students embarking on such courses come from diverse mathematical backgrounds, and
their core knowledge varies considerably.
The proposed lectures are designed to help students explore the necessary course of linear
algebra and analytic geometry, learn to apply matrices and vectors to important practical prob-
lems. This book is illustrated by numerous examples and solutions, as well as figures to it.
The lectures are intended for English-speaking students of all engineering specialities in
higher technical schools.

УДК 512.64 + 514.12(075.8)
ББК 22.143я73 + 22.151я73
MB 02070855-7079-2013 © Bandura A. I., Ovchar I. Ye.
© IFNTUOG, 2013