# What is algebra in linear algebra?

**Linear algebra**is about

**linear**combinations. That is, using arithmetic on columns of numbers called vectors and arrays of numbers called matrices, to create new columns and arrays of numbers.

**Linear algebra**is the study of lines and planes, vector spaces and mappings that are required for

**linear**transforms.

Keeping this in view, 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.

Additionally, what math do you need for linear algebra? The pathways to advanced mathematics courses all begin with linear algebra and **multivariable calculus**, and the standard prerequisite for most linear algebra and **multivariable calculus** courses includes two semesters of calculus.

Also to know is, what level of math is linear algebra?

I live in the U.S., and both my undergrad and grad school are in the U.S. At my undergrad University, the prereq for **linear algebra** is calculus 1. And, **linear algebra** is a prereq to the **math** reasoning class, also known as intro to proofs. And, that class is the prereq to 75% of all the upper **level math** classes.

Is Linear Algebra difficult?

The pure mechanics of **linear algebra** are very basic--far easier than anything of substance in calculus. The **difficulty** is that **linear algebra** is mostly about understanding terms and definitions, and determining which calculation is needed to arrive at the intended answer.