This textbook introduces students of economics to the fundamental
notions and instruments in linear algebra. Linearity is used as a first
approximation to many problems that are studied in different branches of
science, including economics and other social sciences. Linear algebra
is also the most suitable to teach students what proofs are and how to
prove a statement. The proofs that are given in the text are relatively
easy to understand and also endow the student with different ways of
thinking in making proofs. Theorems for which no proofs are given in the
book are illustrated via figures and examples. All notions are
illustrated appealing to geometric intuition. The book provides a
variety of economic examples using linear algebraic tools. It mainly
addresses students in economics who need to build up skills in
understanding mathematical reasoning. Students in mathematics and
informatics may also be interested in learning about the use of
mathematics in economics.