{"id":3828,"date":"2024-01-13T01:03:50","date_gmt":"2024-01-13T01:03:50","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/mrbracamonte\/?page_id=3828"},"modified":"2024-01-13T01:12:24","modified_gmt":"2024-01-13T01:12:24","slug":"introduccion-a-formas-bilineales-y-cuadraticas","status":"publish","type":"page","link":"https:\/\/blog.espol.edu.ec\/mrbracamonte\/algebra-lineal\/introduccion-a-formas-bilineales-y-cuadraticas\/","title":{"rendered":"Introducci\u00f3n a formas bilineales y cuadr\u00e1ticas"},"content":{"rendered":"<p><a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0001.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3829\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0001.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0001.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0001-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0001-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0002.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3830\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0002.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0002.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0002-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0002-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0003.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3831\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0003.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0003.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0003-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0003-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0004.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3832\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0004.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0004.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0004-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0004-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0005.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3833\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0005.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0005.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0005-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0005-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0006.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3834\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0006.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0006.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0006-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0006-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0007.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3835\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0007.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0007.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0007-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0007-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0008.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3836\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0008.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0008.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0008-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0008-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0009.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3837\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0009.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0009.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0009-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0009-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0010.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3838\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0010.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0010.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0010-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0010-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0011.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3839\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0011.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0011.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0011-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0011-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0012.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3840\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0012.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0012.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0012-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0012-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0013.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3841\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0013.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0013.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0013-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0013-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0014.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3842\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0014.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0014.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0014-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0014-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0015.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3843\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0015.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0015.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0015-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0015-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0016.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3844\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0016.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0016.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0016-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0016-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0017.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3845\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0017.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0017.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0017-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0017-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0018.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3846\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0018.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0018.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0018-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0018-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0019.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3847\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0019.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0019.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0019-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0019-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0020.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3848\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0020.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0020.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0020-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0020-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0021.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3849\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0021.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0021.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0021-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0021-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0022.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3850\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0022.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0022.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0022-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0022-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0023.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3851\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0023.jpg\" alt=\"\" width=\"1275\" height=\"1650\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0023.jpg 1275w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0023-768x994.jpg 768w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2024\/01\/Formas_bilineales_page-0023-618x800.jpg 618w\" sizes=\"auto, (max-width: 1275px) 100vw, 1275px\" 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