Linear Combination and Span
A: -6x+7 is a possible linear combination of x2+3x+2 and x2+3
B: 2x2 +6 is a possible linear combination of x2+3x+2 and x2+3
B: 2x2 +6 is a possible linear combination of x2+3x+2 and x2+3
A: L(S) is a subspace of V
B: S is a subset of L(S)
B: S is a subset of L(S)
Let R2 be a vector space over R and S is a subset of R2, then
A: if S≠{0}, L(S)= R2
B: if S={0}, L(S)={0}
A: if S≠{0}, L(S)= R2
B: if S={0}, L(S)={0}
A: (4, 4, 3), (2, 3, 9) and (6, 7, 12) span R3
B: (4, 3, 7), (1, 1, 1) and (0, 0, 0) span R3
B: (4, 3, 7), (1, 1, 1) and (0, 0, 0) span R3
Let v1=(2, 7, 3), v2=(2, 2, 2) and v3=(-4, 6, -2)
v3=2v1 -4v2
Then,
v3=2v1 -4v2
Then,