what is the difference between algebra and linear algebra.what is of linear algebra.can you help me

Algebra involes the mathematical approach of solving for variables by using equations.

Linear Algebra takes that to another level by manipulating these variables using mathematical structures.

In Linear Algebra we learn that we can write entire systems of equations in the form of matrices.

This allows us to study more in depth the invidual parts of a matrix which we call a vertex, or in plurarl verticies.

A vertex is simply a representation of a coordinate.
Usually the vertex is in 3D space so we use x, y, and z.

Imagine that we have a set of points in 3D space.
We mark original their position in terms of x, y, and z.

Now we move the group together.

In doing so we can measure the change in position in terms of x, y, and z. This is what we call a vector.

Looking at this further we can apply a function ( algebraic equation)
to the vertices to change them.

The 3 basic ways to change the coordinates are
1) Translate - Move their position
2) Rotate - Change their angle
3) Scale - Expand or Compress their size

These are known as Linear Transformations
A Linear Transformation maps or changes a set of vertices from one set into a new set through the use of a function.