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11_1-3_to_11_1-5.mw
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11_1-3_to_11_1-5.mw
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<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="18" minor="2"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false" autoexpanding_sections="true"><Zoom percentage="200"/>
</View-Properties>
<MapleNet-Properties elisiondigitsbefore="100" labelling="true" indentamount="4" elisiontermsthreshold="10000" ansi="false" errorbreak="1" useclientjvm="true" echo="1" imaginaryunit="I" labelwidth="20" unitattributes=""fontweight" = "bold"" contextmenusize="automatic" plotdriver="opengl" elisiondigitsafter="100" plotoutput="terminal" helpbrowser="standard" rtablesize="10" elisiontermsbefore="100" elisiondigitsthreshold="10000" typesetting="standard" plotdevice="inline" verboseproc="1" showassumed="1" quiet="false" errorcursor="false" longdelim="true" plotoptions="" elisiontermsafter="100" screenwidth="79" preplot="" prettyprint="3" displayprecision="-1" screenpixelheight="900" warnlevel="3" screenheight="25" latexwidth="8.0" postplot="" prompt="> " ShowLabels="true"/>
<Styles>
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<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="M := Matrix([[a-lambda, b, c], [b, d-lambda, e], [c, e, f-lambda]]);" display="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">QyQ+SSJNRzYiLUknTWF0cml4R0YlNiM3JTclLCZJImFHRiUiIiJJJ2xhbWJkYUdGJSEiIkkiYkdGJUkiY0dGJTclRjAsJkkiZEdGJUYtRi5GL0kiZUdGJTclRjFGNSwmSSJmR0YlRi1GLkYvRi0=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">Gaussian elimination to find eigenvectors of lambda = 0</Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">IiIj</Equation></Text-field>
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<Group labelreference="L89" drawlabel="true">
<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Example</Font></Text-field>
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<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="U := Matrix([[1/sqrt(2), 1/sqrt(2)], [1/sqrt(2), -1/sqrt(2)]])" display="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">PkkiVUc2Ii1JJ01hdHJpeEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjNyQ3JCokLUklc3FydEdGJzYjIiIjISIiRi03JEYtLCRGLUYy</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNWklPWNceVN1WSU9</Equation></Text-field>
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<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="V := Matrix([[1/sqrt(6), 2/sqrt(6), 1/sqrt(6)], [2/sqrt(5), -1/sqrt(5), 0], [1/sqrt(30), 2/sqrt(30), -5/sqrt(30)]])" display="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">PkkiVkc2Ii1JJ01hdHJpeEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjNyU3JSokLUklc3FydEdGJzYjIiInISIiLCRGLSIiI0YtNyUsJCokLUYvNiMiIiZGMkY0LCRGN0YyIiIhNyUqJC1GLzYjIiNJRjIsJEY+RjQsJEY+ISIm</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSShtYWN0aW9uR0YkNiUtSShtZmVuY2VkR0YkNigtRiM2Ji1JJ210YWJsZUdGJDY3LUkkbXRyR0YkNigtSSRtdGRHRiQ2KC1GIzYoLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJ0Y5LUZgbzYkUSI2RidGOS8lLmxpbmV0aGlja25lc3NHRmJvLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmpvLyUpYmV2ZWxsZWRHRj0tRjY2LVExJkludmlzaWJsZVRpbWVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZjcC1GIzYkLUkmbXNxcnRHRiQ2I0Zjb0Y5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjkvJSlyb3dhbGlnbkdRIUYnLyUsY29sdW1uYWxpZ25HRmFxLyUrZ3JvdXBhbGlnbkdGYXEvJShyb3dzcGFuR0Ziby8lK2NvbHVtbnNwYW5HRmJvLUZobjYoLUYjNigtRl1vNihGX28tRmBvNiRRIjNGJ0Y5RmZvRmhvRltwRl1wRl9wRmVwRmpwRl1xRjlGX3FGYnFGZHFGZnFGaHFGZ25GX3FGYnFGZHEtRmVuNigtRmhuNigtRiM2KC1GXW82KC1GYG82JFEiMkYnRjktRmBvNiRRIjVGJ0Y5RmZvRmhvRltwRl1wRl9wLUYjNiQtRmhwNiNGXnNGOUZqcEZdcUY5Rl9xRmJxRmRxRmZxRmhxLUZobjYoLUYjNictRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl10LUYjNigtRl1vNihGX29GXnNGZm9GaG9GW3BGXXBGX3BGYXNGanBGXXFGOUZqcEZdcUY5Rl9xRmJxRmRxRmZxRmhxLUZobjYoLUZgbzYkUSIwRidGOUZfcUZicUZkcUZmcUZocUZfcUZicUZkcS1GZW42KC1GaG42KC1GIzYoLUZdbzYoRl9vLUZgbzYkUSMzMEYnRjlGZm9GaG9GW3BGXXBGX3AtRiM2JC1GaHA2I0ZgdUY5RmpwRl1xRjlGX3FGYnFGZHFGZnFGaHEtRmhuNigtRiM2KC1GXW82KEZfby1GYG82JFEjMTVGJ0Y5RmZvRmhvRltwRl1wRl9wRmN1RmpwRl1xRjlGX3FGYnFGZHFGZnFGaHEtRmhuNigtRiM2J0Zpcy1GIzYoRlxvRl9wRmN1RmpwRl1xRjlGanBGXXFGOUZfcUZicUZkcUZmcUZocUZfcUZicUZkcS8lJmFsaWduR1ElYXhpc0YnL0ZgcVEpYmFzZWxpbmVGJy9GY3FGam8vRmVxUSd8ZnJsZWZ0fGhyRicvJS9hbGlnbm1lbnRzY29wZUdGMS8lLGNvbHVtbndpZHRoR1ElYXV0b0YnLyUmd2lkdGhHRmJ3LyUrcm93c3BhY2luZ0dRJjEuMGV4RicvJS5jb2x1bW5zcGFjaW5nR1EmMC44ZW1GJy8lKXJvd2xpbmVzR1Elbm9uZUYnLyUsY29sdW1ubGluZXNHRl14LyUmZnJhbWVHRl14LyUtZnJhbWVzcGFjaW5nR1EsMC40ZW1+MC41ZXhGJy8lKmVxdWFscm93c0dGPS8lLWVxdWFsY29sdW1uc0dGPS8lLWRpc3BsYXlzdHlsZUdGPS8lJXNpZGVHUSZyaWdodEYnLyUwbWlubGFiZWxzcGFjaW5nR0Zqd0ZqcEZdcUY5RjkvSSttc2VtYW50aWNzR0YkUSdNYXRyaXhGJy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZgeS8lK2FjdGlvbnR5cGVHUS5ydGFibGVhZGRyZXNzRicvJSlydGFibGVpZEdRNTE4NDQ2NzQ0MDc4NDk1NjE4NTgyRidGanBGXXFGOQ==">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNSNlPWNceVN1WSU9</Equation></Text-field>
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<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="s := Matrix([[sqrt(12), 0, 0], [0, sqrt(10), 0]])" display="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">Pkkic0c2Ii1JJ01hdHJpeEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjNyQ3JS1JJXNxcnRHRic2IyIjNyIiIUYxNyVGMS1GLjYjIiM1RjE=</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNVUqPWNceVN1WSU9</Equation></Text-field>
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<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJzRidGL0YyRjUtRiw2JVEiVkYnRi9GMi8lK2V4ZWN1dGFibGVHRj1GOQ==">LUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHNiRGJUkoX3N5c2xpYkdGKDYkLUYjNiRJIlVHRihJInNHRihJIlZHRig=</Equation></Text-field>
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