MATH106 Lecture Notes - Lecture 1: Scalar Multiplication, Irish Guards, Parametric Equation

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Ir the set of all real numbers belongsto e g. 1dimensionalspacey the real line negative real s positivereal s. 112 has many nice properties here are two very special ones. Loosely speaking a set with properties real vector space or a vector space over ir is called a this course. In in higher dimensions we"ll study real vector spaces. We can represent elements in 2 dimensions as points it can also be very. But useful to view them as starting at the origin arrows. Notation the point xfse. pe corresponds to the vector. 4 their corresponding points are plotted on the right and. Definition r2 is the set of all redtorsionfthe form. I where xi xa are real numbers i e. We"ll often switch between thinking of elements in 1132 as points pcp pz and vectors f if. Q can we add and scalelstretch in r2. 5 1 l and 5 yy then ii.

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