Math 51 Midterm 1
questions with 100%
correct answers 2025
Span - answer set of all linear combinations (c1v1+...+ckvk)
Projection Formula - answer projw(v) = (v dot w/ w dot w) w
Linear Independence - answer means non redundant only linear
independent if c1v1+ c2v2+...+ckvk = 0, when c1, c2, ck all = 0
Linear Dependent - answer c1v1+c2v2+...+ckvk where c1, c2, ck do
not = 0
RREF - answer 1. The first non 0 entry in every row is a 1 (pivot)
2. Each pivot is further right than the previous one
3. Pivot columns contain all 0's except for pivots
questions with 100%
correct answers 2025
Span - answer set of all linear combinations (c1v1+...+ckvk)
Projection Formula - answer projw(v) = (v dot w/ w dot w) w
Linear Independence - answer means non redundant only linear
independent if c1v1+ c2v2+...+ckvk = 0, when c1, c2, ck all = 0
Linear Dependent - answer c1v1+c2v2+...+ckvk where c1, c2, ck do
not = 0
RREF - answer 1. The first non 0 entry in every row is a 1 (pivot)
2. Each pivot is further right than the previous one
3. Pivot columns contain all 0's except for pivots
