"Linear Algebra Done Right": http://linear.axler.net/ http://linear.axler.net/ From a math perspective some definitions could be "cleaner" but as a first/secon

"Linear Algebra Done Right": http://linear.axler.net/ http://linear.axler.net/ From a math perspective some definitions could be "cleaner" but as a first/second round it gives a very good perspective on linear algebra. Some of the good stuff: * The general theme is "direct sum decomposition". * Determinants are delayed as much as possible. (There are many good reasons to do this.) * Eigenvalues are not computed using the characteristic polynomial but the other way around; This reflects the algorithmic side: For performance reasons a computer usually calculates the char.polynomial using the eigenvalues and not by using determinants.