Lin Alg Midterm 1

Question 1

what are the properties of complex arithmetic

Answer 1

• commutativity
• associativity
• additive and multiplicative identities
• additive inverse
• multiplicative inverse
• distributive property

Question 2

what are the properties of a vector space

Answer 2

• commutativity
• associativity
• additive and multiplicative identity
• additive and multiplicative inverses
• distributive properties
• unique additive inverse
• unique additive identity
• scalar0 times a vector = 0vector
• any scalar times 0vector = 0vector
• (-1)v is the additive inverse of v