Edit: Explained min(m,n) in Exercise PD.T15

Edit: More on induction in Proof Technique I (Dan Messenger)

Edit: Added multiplicities to Solution EE.C19 (Duncan Bennett)

+Edit: Subsection IVLT.SLELT, reference Definition MVP for T's definition (Kyle Whitcomb)

Change: Replaced Definition RR by an informal discussion

Change: Definition TSVS renamed as Definition SSVS

Change: Proof Technique D: discussion about definitions as nouns, adjectives

D=<archetypepart acro="D" part="purematrix" /></equation>

-<p>To apply the <em>theory</em> of linear transformations to these two archetypes, employ matrix multiplication (<acroref type="definition" acro="MM" />) and define the linear transformation,

+<p>To apply the <em>theory</em> of linear transformations to these two archetypes, employ the matrix-vector product (<acroref type="definition" acro="MVP" />) and define the linear transformation,

\ltdefn{T}{\complex{4}}{\complex{3}},\quad \lt{T}{\vect{x}}=D\vect{x}

=x_1\colvector{2\\-3\\1}+