This book presents algebra in a concise and clear way, allowing beginner students to quickly attain the required proficiency. As to opposed to existing books on the subject that cover too many topics, some of which are too complex and intimidating for a first course in linear algebra, this book only presents the essential topics in a more user-friendly manner. The author includes an optimized order of topics that are adapted to the learning patterns of students. In addition, carefully designed examples are presented to enhance reader confidence to master the material and to avoid frequently observed frustration. This textbook is ideal for a one semester course on basic linear algebra for college students majoring in mathematics, engineering, and other sciences.