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committed 9121367

LaTeX/XML formatting in Solution LT.C43 (Duncan Bennett)

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# File changes.txt

 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)
+Typo:  LaTeX/XML formatting in Solution LT.C43 (Duncan Bennett)

 MAJOR SOURCE FORMAT CHANGE
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# File src/section-LT.xml

 Does this linear transformation seem familiar?
 </problem>
 <solution contributor="chrisblack">The preimage $\preimage{T}{0}$ is the set of all polynomials $a + bx + cx^2 + dx^3$ so that
-$\lt{T}{a + bx + cx^2 + dx^3} = 0$.  Thus, $b + 2cx + 3dx^2 = 0$, where the $0$ represents the zero polynomial.  In order to satisfy this equation, we must have $b = 0$, $c = 0$, and $d = 0$.  Thus, $\preimage{T}{0}$ is precisely the set of all constant polynomials <ndash /> polynomials of degree 0. Symbolically, this is $\preimage{T}{0} = \setparts{a}{a\in\complexes}$.\\
+$\lt{T}{a + bx + cx^2 + dx^3} = 0$.  Thus, $b + 2cx + 3dx^2 = 0$, where the $0$ represents the zero polynomial.  In order to satisfy this equation, we must have $b = 0$, $c = 0$, and $d = 0$.  Thus, $\preimage{T}{0}$ is precisely the set of all constant polynomials <ndash /> polynomials of degree 0. Symbolically, this is $\preimage{T}{0} = \setparts{a}{a\in\complexes}$.<br /><br />
 Does this seem familiar?  What other operation sends constant functions to 0?
 </solution>
 </exercise>