# What is the difference between algebra and linear algebra?

**Linear Algebra**is the study of vector spaces and

**linear**mappings

**between**those spaces.

**Linear Algebra**is the study of vector spaces and

**linear**mappings

**between**those spaces. Abstract

**Algebra**deals with various abstract structures such as groups, rings and fields.

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.