problems3.2 - Math 307: Problems for section 3.2 February...

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Math 307: Problems for section 3.2February 2, 20111.Review of complex numbers:(a) Show that|zw|=|z||w|for any complex numberszandw.(b) Show thatzw= ¯z¯wfor any complex numberszandw.(c) Show that¯zz=|z|2for every complex numberz.2.Calculate the inner products and norms for the following:(a) the real vectors12-1and-35-1,(b) the complex vectors1 +i3-i2 + 2i6-3iand2-2i4 + 3i6-i1,(c) the functionsx-1andcosxon the interval[-π, π],(d) the functionse3ixande-ixon the interval[0,2π].
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Term
Fall
Professor
RICHARDFROESE

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