Of course you should but the blocking and amortization techniques have much wider usecases beyond linear algebra. Matrix multiplicaton is a useful "simple" exam

Of course you should but the blocking and amortization techniques have much wider usecases beyond linear algebra. Matrix multiplicaton is a useful "simple" example to study; of course you don't write your own if what you want to do is covered by BLAS/LAPACK. For instance I have written high performance spherical harmonic transforms, and these techniques apply then.