References: Online lecture notes Projections In linear algebra a projection is a linear map from a vector space to itself $P:V \rightarrow V$, often a subspace, such that \[P^2 = P\] From t...
Linear Algebra References: Linear algebra - lecture notes Fields A field is a set $S$ with two binary operations (a map from $S \times S$ to $S$ ): Addition and Multiplication. These two operatio...
Linear Algebra - Eigenvectors Eigenvalues and eigenvectors If $\mathbf{v}_i$ is an eigenvector of matrix $A$ with eigenvalue $\lambda_i$ and $\alpha \neq 0$, then any $\alpha \mathbf{v}_i$ is als...
Linear Regression - Diagnostic Plots
Projections
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