F(x)=5x^2+3x^3+9x+1 is a _________polynomial constant linear quadratic cubic
1 answer:
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Answer:
False, counterexample below
Step-by-step explanation:
Denote the unit vectors of R^3 by . Now consider
and
. We have that
. Also, the vector
is not a linear combination of
because any linear combination of these two vectors will have third coordinate zero, but v_3 has third coordinate 1 so they can't be equal.
However, the set is not linearly independent, because
is a non-trivial linear combination of these vectors that equals zero.