Elementary Linear Algebra Review Vector Spaces Let V be a set of objects(elements)and F be a field,mostly the real number field R or the complex number field C throughout this course The set V is called a vector space over F if the operations addition u+v,u,v∈V and scalar multiplication cw,c∈F,v∈V, are defined so that the addition is associative,is commutative,has an additive identity 0 and additive inverse-v in V for each vV. and so that the scalar multiplication is distributive,is associative, and has an identity 1EF for which 10=o for every vV. 2course 2