Question

can there be two different linear combinations for the same vector?

Answer 1

mhmmm

Answer 2

Sure. Just not of the basis.

Answer 3

I mean... for instance, if we let \(\large V\) be a vector space with basis \(\large \{\vec{v_1},\vec{v_2},\vec{v_3}\}\)

Now suppose we have a vector \[\large \vec u \in V\]

Such that \(\large \vec u = a_1\vec{v_1}+a_2\vec{v_2}+a_3\vec{v_3}\)

Answer 4

is this linear algebra, or before