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### The main changes apart from the usual improvements during a new edition are the number of exercises which has more than doubled new formatting including color printing new sections on product spaces quotient spaces duality and the chapter on operators on real vector spaces.

Linear algebra done right. For example the equation 2x 1 5 is optionally accompanied by the graph of y 2x 1 the left side of the equation dashed green. So when solving linear systems with two variables we are really asking where the two lines will intersect. Typically such a student will have taken calculus but this is not a prerequisite. It parallels the combination of theory and applications in professor strangs textbook introduction to linear algebra. As you can see the solution to the system is the coordinates of the point where the two lines intersect.

For more advanced students a graph is displayed. In mathematics and more specifically in linear algebra and functional analysis the kernel also known as null space or nullspace of a linear map l. V w between two vector spaces v and w is the set of all elements v of v for which lv 0 where 0 denotes the zero vector in wthat is in set builder notation. This is the third edition of this well known introduction to linear algebra. Introduction to linear algebra 5th edition by gilbert strang wellesley cambridge press 2016 isbn 978 0 9802327 7 6 x574 pages.

The book begins with systems of linear equations then covers matrix algebra before taking up finite dimensional vector spaces in full generality. This course covers matrix theory and linear algebra emphasizing topics useful in other disciplines such as physics economics and social sciences natural sciences and engineering.

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