Linear equations

Linear algebra, at its core, is about solving a set of linear equations, referred to as a system of equations. A large number of problems can be formulated as a system of linear equations.

We have two equations and two unknowns, as follows:

Both equations produce straight lines. The solution to both these equations is the point where both lines meet. In this case, the answer is the point (3, 1).

But for our purposes, in linear algebra, we write the preceding equations as a vector equation that looks like this:

Here, b is ...

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