Grings - Álgebra Linear - Espaço Vetorial - ( Parte 1 )

Linear Algebra Course - Vector Space Subscribe to my CHANNEL to receive FREE lessons WEBSITE: http://www.omatematico.com/ Lessons on DVD: http://www.lojaomatematico.com.br/ STUDYING has never been so easy! CONTENT: Definition of Real Vector Space at time (0:20) Diagram at time (1:13) To be a vector space, 2 conditions are necessary at time (1:21) addition multiplication USUAL operations at time (3:03) AXIOMS at times (3:14) and (4:05) Reviewing the usual operations at time (3:21) AXIOMS ​​regarding ADDITION at time (4:47) AXIOMS ​​regarding MULTIPLICATION at time (6:58) EXERCISE 1: Verify if the set V = { ( x,y) E R², /, x ≥ 0 } can be a vector space. (8:37) EXERCISE 2: Verify if the set of days in the month (1, 2, ... 30 } can be a vector space. (16:26) EXERCISE 3: Verify if the set of natural numbers can be a vector space. (19:28)