This book will gently guide you into one of the most important subfields of mathematics. Logically, it begins with the basics - complex numbers, fields, and vector calculus - before turning to linear systems of equations and matrices. You can look forward to the next part: intersections of planes and affine transformations become easily manageable with the tools of linear algebra. And finally, you will receive an introduction to the most challenging topics of linear algebra: morphisms, determinants, change of basis, eigenvalues and eigenvectors, and diagonalization

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