1.5 Solution Sets of Linear Systems

Question 1

homogenous

Answer 1

a system of linear equations that can be written in the form Ax=0; always has the solution x=0

Question 2

trivial solution

Answer 2

solution x=0

Question 3

nontrivial solution

Answer 3

a nonzero vector that satisfies the equation

Question 4

parametric vector equation

Answer 4

an equation in the form x=su+tv with s & t in R and u and v as vectors

Question 5

parametric vector form

Answer 5

solution set described explicitly with vectors