What is the difference between algebra and linear algebra?
Also, is Linear Algebra harder than algebra?
Linear algebra is the opposite. Conceptually it's very hard, but the mechanics aren't hard. Linear Algebra is very different from any other math you will have encountered up to this point.
Additionally, how important is linear algebra? Linear algebra is vital in multiple areas of science in general. Because linear equations are so easy to solve, practically every area of modern science contains models where equations are approximated by linear equations (using Taylor expansion arguments) and solving for the system helps the theory develop.
Considering this, what does linear algebra cover?
Linear algebra is the branch of mathematics concerning linear equations such as. linear functions such as. and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics.
What is linear algebra used for in real life?
Linear algebra is useful because it is "easy", in the sense that most linear algebra problems can be solved efficiently by a computer. Linear algebra is used in almost all compute-intensive tasks. It can efficiently be used to solve any linear or non-linear set of equations.