Typo: Section SLT, before Diagram SLT, domain/codomain confusion (Kyle Whitcomb)

Typo: Section IVLT, after Definition IVS, "given", "a" reversed (Kyle Whitcomb)

Typo: LaTeX rules for fill-in-the-blank exercises (Julie Nelson)

+Typo: LaTeX/XML formatting in Solution IVLT.C20 (Julie Nelson)

MAJOR SOURCE FORMAT CHANGE

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From the existence of non-trivial solutions to this system, we can infer non-zero polynomials in $\krn{T}$. By <acroref type="theorem" acro="KILT" /> we then know that $T$ is not injective.<br /><br />

-~~<![CDATA[~~(b) Since $3=\dimension{P_2}<\dimension{M_{22}}=4$, by <acroref type="theorem" acro="SLTD" /> $T$ is not surjective.<br /><br />~~]]>~~

+(b) Since <![CDATA[$3=\dimension{P_2}<\dimension{M_{22}}=4$]]>, by <acroref type="theorem" acro="SLTD" /> $T$ is not surjective.<br /><br />

(c) Since $T$ is not surjective, it is not invertible by <acroref type="theorem" acro="ILTIS" />.