chapter 1

Question 1

consistent/inconsistent systems have _ solutions

Answer 1

consistent - at least one solution

inconsistent - no solution

Question 2

definition of consistent system

one or infinitely many solutions?

Answer 2

consistent - no row 0=a a=/= 0

pivot in each column - one solution, infinitely many otherwise

Question 3

general solution is found by..

Answer 3

found by free variable substitution wherever pivot variables aren’t present

Question 4

homogeneous/inhomogeneous systems

Answer 4

where each equation =bk, homogeneous when b1=…=bm=0, inhomogeneous otherwise

Question 5

homogenous systems of linear equations with more unknowns than equations have _ solutions

Answer 5

homogenous systems of linear equations with more unknowns than equations have infinitely many solutions