True. How do you apply information from the book into the tests? Books don't give the answers merely provide a foundation you must build upon.
Answer:
the is lslamic empire that developed the most in the period was the ottoman Empire They used certain disagreements that existed in the area around the mediterranean
Explanation:
Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
The consequences of losing the mandate of heaven include that if the leader becomes unvirtous and people in the monarchs realm are suffering or starving from certain events seenot as a sign of ruler not being virtous, then being replaced and losing position of the emporer or being in charge is a threat. The mandate of heaven giveso you the authority to rule under the supposed word of God. Without this holy order, the people wouldn't want to follow the Supreme leader because they'd believe that they're not obligatedo tof anymore. Religion was very important at the time that the mandate of heaven was a key document in ruling political states, so it was very effective.
Europe has been going though deforestation since the neolitic times.
In North America deforestation can be found for example in Canada
South America is undergoing deforestation- for example in Bolivia
Asia is definitely undergoing deforestation- for example in Indonesia
so the correct answer is: none of the above!
