<Text-field style="Heading 1" layout="Heading 1">Ejemplo 1</Text-field> Sea f:V\342\206\222V la simetr\303\255a respecto del plano vectorial x+y-z=0 f(x)= Mx 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a) Halla los autovalores de f b) Obt\303\251n una base B`de V de vectores propios c) Halla la matriz de f en B` LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSV3aXRoRidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEnbGluYWxnRidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5RjlGNUZaRjk= 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<Text-field style="Heading 1" layout="Heading 1">Ejemplo 2</Text-field> Sea f:V\342\206\222V la aplicaci\303\263n lineal f(x)= Mx ,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 \302\277Es f diagonalizable? JSFH 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSShtYWN0aW9uR0YkNiUtSShtZmVuY2VkR0YkNigtRiM2Ji1JJ210YWJsZUdGJDY3LUkkbXRyR0YkNigtSSRtdGRHRiQ2KC1JI21uR0YkNiRRIjFGJ0Y5LyUpcm93YWxpZ25HUSFGJy8lLGNvbHVtbmFsaWduR0Zgby8lK2dyb3VwYWxpZ25HRmBvLyUocm93c3BhbkdGXW8vJStjb2x1bW5zcGFuR0Zdby1GaG42KC1GIzYlLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZhcC1GW282JFEiM0YnRjlGOUZeb0Zhb0Zjb0Zlb0Znby1GaG42KC1GW282JFEiNkYnRjlGXm9GYW9GY29GZW9GZ29GXm9GYW9GY28tRmVuNihGaW8tRmhuNigtRltvNiRRIjlGJ0Y5Rl5vRmFvRmNvRmVvRmdvLUZobjYoLUYjNiVGXXAtRltvNiRRIzE4RidGOUY5Rl5vRmFvRmNvRmVvRmdvRl5vRmFvRmNvLUZlbjYoRmZwLUZobjYoLUZbbzYkUSI3RidGOUZeb0Zhb0Zjb0Zlb0Znby1GaG42KC1GW282JFEiOEYnRjlGXm9GYW9GY29GZW9GZ29GXm9GYW9GY28vJSZhbGlnbkdRJWF4aXNGJy9GX29RKWJhc2VsaW5lRicvRmJvUSZyaWdodEYnL0Zkb1EnfGZybGVmdHxockYnLyUvYWxpZ25tZW50c2NvcGVHRjEvJSxjb2x1bW53aWR0aEdRJWF1dG9GJy8lJndpZHRoR0Zicy8lK3Jvd3NwYWNpbmdHUSYxLjBleEYnLyUuY29sdW1uc3BhY2luZ0dRJjAuOGVtRicvJSlyb3dsaW5lc0dRJW5vbmVGJy8lLGNvbHVtbmxpbmVzR0ZddC8lJmZyYW1lR0ZddC8lLWZyYW1lc3BhY2luZ0dRLDAuNGVtfjAuNWV4RicvJSplcXVhbHJvd3NHRj0vJS1lcXVhbGNvbHVtbnNHRj0vJS1kaXNwbGF5c3R5bGVHRj0vJSVzaWRlR0Zbcy8lMG1pbmxhYmVsc3BhY2luZ0dGanMvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOUY5L0krbXNlbWFudGljc0dGJFEnTWF0cml4RicvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZHUvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLyUpcnRhYmxlaWRHUSoxNTM1OTg3MDhGJ0ZfdUZidUY5 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSxlaWdlbnZhbHVlc0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRIk1GJ0Y0RjcvRjhRJ25vcm1hbEYnRkJGQkYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGQg== NiUiIiEsJiIiKiIiIiomXiNGJkYmKSIjKikjRiYiIiNGJkYmLCZGJUYmKiYsJEYoRiZGJkYpRiYhIiI= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUS1laWdlbnZlY3RvcnNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJNRidGNEY3L0Y4USdub3JtYWxGJ0ZCRkJGKy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRkI= NiU3JSwmIiIqIiIiKiZeI0YmRiYpIiMqKSNGJiIiI0YmRiZGJjwjPTYiNiM7RiYiIiRFXFtsJEYmLCYjRiYiIzohIiIqJiwkKiZGNUYmRihGJkYmRiZGKUYmRjdGLCwmI0YmIiImRiYqJiomRjxGJkYoRiZGJkYpRiZGJkYyRiY3JSwmRiVGJiomLCRGKEYmRiZGKUYmRjdGJjwjPUYvRjBFXFtsJEYmLCZGNUY3KiZGOkYmRilGJkYmRiwsJkY8RiYqJiwkRj9GJkYmRilGJkY3RjJGJjclIiIhRiY8Iz1GL0YwRVxbbCRGJiMhI20iI0RGLCMiI0dGU0YyRiY= JSFH f no es diagonalizable porque tiene autovalores complejos
<Text-field style="Heading 1" layout="Heading 1">Ejemplo 3</Text-field> Sea f:V\342\206\222V la aplicaci\303\263n lineal f(x)= Mx \302\277Es f diagonalizable? LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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diagonalizable porque existe una base de vectores propios 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<Text-field style="Heading 1" layout="Heading 1">Ejemplo 4</Text-field> Sea f:V\342\206\222V la aplicaci\303\263n lineal f(x)= Mx \302\277Es f diagonalizable? 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<Text-field style="Heading 1" layout="Heading 1">Ejemplo 5</Text-field> JSFH Sea f:V\342\206\222V endomorfismo y B={e1,e2,e3} base can\303\263nica de V. a) Determina la matriz del endomorfismo f respecto de B sabiendo que: u=(1,2,0) es un vector del n\303\272cleo v= (0,1,3) es vector propio asociado al valor propio \316\273=3 w=(4,3,5) es vector propio de f2 asociado al valor propio de f2 , \316\273=4 b) Determina la matriz de f respecto de la base B'={u,v,w} 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JSFH Matriz del f en la base can\303\263nica 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 PTYiNiQ7IiIiIiIkRiVFXFtsKjYkRidGJiMhIiQiIiM2JEYsRiwjRisiIz82JEYsRiYjRiciIzU2JEYsRicjIiNARi82JEYmRiYjIiM3IiImNiRGJkYnI0YsRjk2JEYmRiwjISInRjk2JEYnRiwjRiciIiU2JEYnRicjIiM2RkE= JSFH Comprobamos que matrices semejantes tienen el mismo determinante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkZGV0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEiTUYnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZARj1GQA== IiIh LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkZGV0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEpRGlhZ29uYWxGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQEY9RkA= IiIh JSFH Comprobamos los autovalores y autovectores de M LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEsZWlnZW52YWx1ZXNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSJNRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkBGPUZA NiUiIiEiIiQiIiM= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEtZWlnZW52ZWN0b3JzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEiTUYnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZARj1GQA== NiU3JSIiIyIiIjwjPTYiNiM7RiUiIiRFXFtsJEYlIyIiJUYrRiRGJUYrIyIiJkYrNyVGK0YlPCM9RihGKUVcW2wkRiUiIiFGJEYlRitGKzclRjVGJTwjPUYoRilFXFtsJEYlRiVGJEYkRitGNQ==