advanced-linear-algebra

Cauchy-Schwarz and the triangle inequality, proved

taught

|<u,v>| <= ||u|| ||v||, proved with no coordinates and no geometry -- purely from positive-definiteness -- and it's exactly what makes the triangle inequality true.

Taught in

Cauchy-Schwarz and the triangle inequality, proved
Advanced Linear Algebra

Requires

norms-from-inner-products-and-norms-that-arent required

Required by

Orthonormal bases and Fourier coefficients required

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