MAT224H1 Lecture Notes - Lecture 1: Scalar Multiplication, Sm U-10 (Austria-Hungary), Intelligence Quotient
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Uc d er xty t z associativity communicating x 1 0. 0 x x xs. tn t c x. As in mat223 for x y zen a. Xty ytx c o 0. 0 d ux. z e ccxty f ctd x cxtdx g cldx h i set cd x. A real vectorspace is a set v of elements called vectors together with 2 binary operations. V a vector addition a scalar multiplication satisfying following axiomsi. X existence of additive inverse also called zero vector. 5 ux y ev uc er ltc. de 112 ex ev. Uxev. cc dx cxtcy cxtdx led x is an ir v. si under t e. Xi er: r x xz. I q not closed under scalar multiplication. An it polynomialsof degree in ta. xta. la t e is an lr v. si. Mthis. isnot number o eg. ir x e r 1 x o with t xtyxycxexcuc. gr defined as follows l xtlytz x y z er.