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Linear Algebra 2270-2 \\
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Due in Week 8
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The 7th  week starts the work from chapter 4, due in week 8. Here's the
list of problems, all of which have book answers except 4.3-34.

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\item[{\bf Section 4.1}.] Exercises 1, 5, 7, 11, 13, 21, 27

\item[{\bf Section 4.2}.] Exercises 3, 5, 11, 15, 23, 31

\item[{\bf Section 4.3}.] Exercises 5, 9, 11, 13, 15, 19, 34

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{\bf Answer to 4.3-34}: Polynomials 1 and 2 are a potential basis, because polynomial 3 is a linear combination of 1 and 2. Further, polynomials 1 and 2 have span equal to the span of $1$, $t$, succinctly $\span\{p_1,p2\}=\span\{1,t\}$. Because $1$, $t$ are independent, then $p_1,p_2$ are also independent. Then polynomials 1 and 2 form a basis for the span of polynomials 1, 2 and 3.
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