Section 1.3: Key concepts: Linear Combination, which combines: addition and scalar multiplication SPAN Try to understand these concepts algebraically (computations with numbers) as well as geometrically (point, line, plane, etc). You should also learn how to decide (for some vectors v1,v2,... and another vector b) if b is in Span(v1,v2,...) or not. Pick one or two vectors v1,v2,.. and another vector b, and ask yourself: What does it mean computationally if b is in Span(v1,v2,...)? What does it mean geometrically if b is in Span(v1,v2,...)? For the exercises, look at at least one from each of these ranges, and turn in 3 exercises (the hardest ones you could solve) (remember, you don't lose points for a wrong answer!). Exercises: 1-6 7,8 9-10 are similar to 4-5 but in the reverse direction 11-14 I'll do 17 in class, and leave Ex 18 (which is similar) to you. 21-22.