This lesson begins with the construction of the most common algebraic structure.

The Field Axioms

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We start to lay down the requirements of basis vectors.

Introducing Basis Vectors

We play with matrices and polynomials, looking for solutions to polynomials equations that come in matrix form.

Matrix Solutions to Polynomial Equations

Preliminary work with a two dimensional analogue for vectors.

Introducing Matrices

Moving beyond the constraints of the number line.

n-tuples, Vectors and beyond

Conceptually introducing, though not yet proving, the Fundamental Theorem of Algebra.

The Field Axioms

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