Linear Combination and Span
A: -6+7 is a possible linear combination of 2+3+2 and 2+3
B: 22+6 is a possible linear combination of 2+3+2 and 2+3
B: 22+6 is a possible linear combination of 2+3+2 and 2+3
A: is a subspace of
B: is a subset of
B: is a subset of
Let 2 be a vector space over and is a subset of 2, then
A: if ≠{0}, = 2
B: if ={0}, ={0}
A: if ≠{0}, = 2
B: if ={0}, ={0}
A: (4, 4, 3), (2, 3, 9) and (6, 7, 12) span 3
B: (4, 3, 7), (1, 1, 1) and (0, 0, 0) span 3
B: (4, 3, 7), (1, 1, 1) and (0, 0, 0) span 3
Let 1=(2, 7, 3), 2=(2, 2, 2) and 3=(-4, 6, -2)
3=21 -42
Then,
3=21 -42
Then,