Introduction to Linear Algebra is a course by Gilbert Strang for MIT

When we look at equations, we have a few different perspectives

```
3x + 2y = 4
-x + 2y = 3
```

We can visualise it as the following forms

**Matrix Form**

$[3−1 22 ][xy ]=[43 ]$

**Row Form**

This is when we try to rewrite it in the original $y=mx+c$ form that we learnt in school

**Column View**

We can also visualise it as a linear combination of vectors

$x[3−1 ]+y[22 ]=[43 ]$

All three are equally valid ways of visualising the problem but when we get to higher dimensions, the row and column views start to be a bit more limited in their usage since it gets difficult to visualise.

If all vectors are within the same plane, then we cannot discover a unique vector that is an answer to the solution