1/5
1/3
8/100
Three fractions that are less than 40%.
Not necessarily.
and
may be linearly dependent, so that their span forms a subspace of
that does not contain every vector in
.
For example, we could have
and
. Any vector
of the form
, where
, is impossible to obtain as a linear combination of these
and
, since
unless
and
.
The answer to this question is Letter B.
Geometric proofs can be written in one of two ways: two columns, or a
paragraph. A paragraph proof is only a two-column proof written in
sentences. However, since it is easier to leave steps out when writing a
paragraph proof, we'll learn the two-column method.
A two-column geometric proof consists of a list of
statements, and the reasons that we know
those statements are true. The statements are listed in a column on the left,
and the reasons for which the statements can be made are listed in the right
column. Every step of the proof (that is, every conclusion that is made) is a
row in the two-column proof.
