Section 4.1
2.
The given vector can be written as
6.
10.
Therefore,
This is illustrated geometrically as shown below.
14.
Therefore,
18.
(a)
(b)
(c)
22.
Therefore,
30.
(a) Therefore,
(b)
(c)
36.
Now,
42.
If v is a linear combination of u and w, then
Therefore,
Therefore,
Therefore,
46.
then
Therefore,
Therefore,
Therefore,
52. (a) to subtract two vectors in Rn, subtract their corresponding components.
The statement is True.
Since
(b) The zero vector in Rn is defined as the additive inverse of a vector.
The statement is false,
Since,
54.
then
Therefore,
We suppose,
Therefore,
LI17
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