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Introduction to Linear Algebra with Applications is an introductory text targeted to second-year or advanced first-year undergraduate students. The organization of this text is motivated by what our experience tells us are the essential concepts that students should master in a one-semester undergraduate linear algebra course. The centerpiece of our philosophy regarding the presentation of the material is that each topic should be fully developed before the reader moves onto the next. In addition, there should be a natural connection between topics. We take great care to meet both of these objec- tives. This allows us to stay on task so that each topic can be covered with the depth required before progression to the next logical one. As a result, the reader is prepared for each new unit, and there is no need to repeat a concept in a subsequent chapter when it is utilized.