Let u4u4 be a vector that is not a linear combination of the vectors {u1,u2,u3}{u1,u2,u3}. Select the most correct state

[answerhappygod]

Let u4u4 be a vector that is not a linear combination
of the vectors {u1,u2,u3}{u1,u2,u3}.
Select the most correct statement.

A. span{u1,u2,u3}≠span{u1,u2,u3}≠ span{u1,u2,u3,u4}span{u1,u2,u3,u4}.
B. We only know
that span{u1,u2,u3}⊆span{u1,u2,u3}⊆ span{u1,u2,u3,u4}span{u1,u2,u3,u4},
and not whether these two spans are equal.
C. There is no obvious relationship
between span{u1,u2,u3}span{u1,u2,u3} and span{u1,u2,u3,u4}span{u1,u2,u3,u4}.
D. span{u1,u2,u3}=span{u1,u2,u3}= span{u1,u2,u3,u4}span{u1,u2,u3,u4} only
when u4u4 is a scalar multiple of one of the vectors in
the set {u1,u2,u3}{u1,u2,u3}.
E. None of the above.

Let U4u4 Be A Vector That Is Not A Linear Combination Of The Vectors U1 U2 U3 U1 U2 U3 Select The Most Correct State 1 (19.56 KiB) Viewed 38 times

Problem 8. (1 point) Let u be a vector that is not a linear combination of the vectors {U₁, U₂, U3}. Select the most correct statement. A. span {u₁, U₂, U3} span {U₁, U₂, U3, U14}. O B. We only know that span {u₁, U₂, U3} span {U₁, U₂, U3, 14), and not whether these two spans are equal. O C. There is no obvious relationship between span {u₁, U₂, U3} and span {u₁, U₂, U3, U₁}. D. span {1₁, 1₂, 13} O E. None of the above. = - span {u₁, U₂, U3, U₁} only when u is a scalar multiple of one of the vectors in the set {1₁, U2, U3}.