Math Academy, part 1: My eigenvector embarassment
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Math Academy, part 1: My eigenvector embarassment
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Re: Math Academy, part 1: My eigenvector embarassment
#2Re: Math Academy, part 1: My eigenvector embarassment
#3Re: Math Academy, part 1: My eigenvector embarassment
#4he was a physics and math major and did not know eigenvectors and eigenvalues? i would like to know how is this possible. can someone explain it to me?
Re: Math Academy, part 1: My eigenvector embarassment
#5he was a physics and math major and did not know eigenvectors and eigenvalues? i would like to know how is this possible. can someone explain it to me?
I asked myself the same thing. The article said “learn” Linear Algebra, not “review” Linear Algebra. Do some undergrad math programs not teach Linear Algebra?
Re: Math Academy, part 1: My eigenvector embarassment
#6he was a physics and math major and did not know eigenvectors and eigenvalues? i would like to know how is this possible. can someone explain it to me?
I had never heard of them until I was _years_ into software engineering. I think this is more common than you may think. I had never dealt with linear algebra in a formal setting, despite leveraging a lot of the concepts, until then.
Re: Math Academy, part 1: My eigenvector embarassment
#7Re: Math Academy, part 1: My eigenvector embarassment
#8is MathAcademy that much better that KhanAcademy (which also has a Linear Algebra course and covers eigenvalues of course), which is free? Considering it for my youngest kids, but my eldest (now finished college with a degree in engineering) used Kahn Academy as a high school supplement and it was quite good (this was about 10 years ago). (She didn't take the KahnAc LinAlg course -- not sure it was around at that tim…
We also tried some other programs like Art of Problem Solving (great program, but required very synchronous classes which were hard to fit in)
My suggestion would be try it for a few months,
Re: Math Academy, part 1: My eigenvector embarassment
#9he was a physics and math major and did not know eigenvectors and eigenvalues? i would like to know how is this possible. can someone explain it to me?
I am not too familiar with the pedagogical history of linear algebra, but I've been reading some advanced undergraduate geometry texts from the 30s-60s and linear algebra was generally not an assumed prerequisite. There was a particular separation between the studies of "two and three dimensional vector spaces over R" (largely geometric) versus "finite dimensional vector spaces over a field" (entirely algebraic), and determinants were presented directly as volume computations. These days undergraduates mostly treat R^2 and R^3 algebraically, maybe at the expense of geometric understanding. (E.g. Euler's rotation theorem is easily proved when restated as a theorem about matrices over R^3 with determinant +1, but Euler's original statement and proof using spherical trigonometry is deeper.)