The best replacement for linear algebra is calculus.

The best alternatives to linear algebra are rated as following:
★★★★★  calculus
★★★★★  differential equations
★★★  abstract algebra
★★★  calculus 3
★★★  matrix algebra
★★  multivariable calculus
★★  algebra
★★  calc 3
★  calculus 2
★  linear programming
  calculus iii
  calculus ii
  calc 2
  differential equations which is harder
  real analysis
  college algebra
  calc
  discrete math
  complex analysis
  calc iii
  matrices

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Speaking about linear algebra, one probably shouldn't forget about maple.

Other search terms related to linear algebra and their ratings are:
★★★★★ maple
You have in mind a companion for linear algebra and it is not yet here? Propose!



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linear algebra
calculus
differential equations