5
answers
0
watching
437
views
20 Dec 2017
[5] 8. Let V = {x,y} be a set with exactly two vectors, r and y. Define vector addition and scalar multiplication in V by the following rules: Vector addition: 2+r= x, y + y = 1, + y = y, and y + x = y. Scalar multiplication: cx = I, and cy = y for all c ER Prove that V is not a vector space by finding one axiom in the definition of a vector space that fails to hold. You must state the axiom clearly and show it does not hold.
[5] 8. Let V = {x,y} be a set with exactly two vectors, r and y. Define vector addition and scalar multiplication in V by the following rules: Vector addition: 2+r= x, y + y = 1, + y = y, and y + x = y. Scalar multiplication: cx = I, and cy = y for all c ER Prove that V is not a vector space by finding one axiom in the definition of a vector space that fails to hold. You must state the axiom clearly and show it does not hold.
14 Jun 2023
Read by 1 person
teacherrecoLv10
18 Apr 2022
Already have an account? Log in
Read by 1 person
Trinidad TremblayLv2
22 Dec 2017
Already have an account? Log in
