Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x
1 answer:
Consider the first blank is the green box.
Given:
The equations are
To find:
The value belongs in the green box
Solution:
We have,
...(i)
...(ii)
Adding (i) and (ii), we get
So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.
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Answer:
a) True
b) False
c) False
d) False
e) True
Step-by-step explanation:
a) Each basis of V has four vectors. Then any set of 5 vectors must be linear dependent (LD).
b) Suppose that is a basis of V. Considere the set
where
are scalars. The set has 5 vectors but
because
is not belong to A and
is linear independent of
c) Suppose that is a basis of V. Considere the set
where
are scalars. A has four nonzero vectors but isn't a basis because is a LD set.
d) Suppose that is a basis of V. Considere the set
where
are scalars. A has 3 nonzero vectors but isn't a basis because is a LD set.
e) Since any basis of V must have 4 elements, then a set of three vectors cannot generate V.