Lohwater, arthur 1982, introduction to inequalities, online ebook in pdf. So this is equal to the length of x times the length of y. Brian bi and jessica su nailed it several years ago. Clase algebra lineal subespacios, base y dimension. Pdf algebra lineal y sus aplicaciones gabriel matias. Prove the cauchyschwarz inequality problems in mathematics. I was reading about the cauchyschwarz inequality from courant, hilbert methods of mathematical physics vol 1 and i can not understand what they mean when they said the line that has been highlighted with red in the picture given below. Espacios y vectores algebra lineal matematicas khan academy. Rios, s algebra lineal y geometria vectorial, 1975, madrid, pags. Browse other questions tagged linear algebra functionalanalysis or ask your own question. I was wondering if i could add something new to the old answers. It is considered to be one of the most important inequalities in all of mathematics. In mathematics, the cauchyschwarz inequality, also known as the cauchybunyakovskyschwarz inequality, is a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas. Suscribete a nuestro canal y recibe notificaciones con nuestras nuevas publicaciones.