Homeowners can make a profit on the sale of their home.
easy to move
-low maintenance responsibility
-low financial commitment
Answer:
1.“Being authentic is the ability to be true to oneself. Living an authentic life requires the ability to be true to our own wants, needs and desires and not live our lives by the opinion of others. Being authentic is the ability to make self-honoring choices and stand firmly in who we are in our core.
2.To live life to the fullest means to maximize your capacity to experience what life has to offer around you. ... It means making the most of what you have and never settling for less than the life you are capable of living. It means being truly alive and awake to life and not asleep in life's waiting room
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.
Answer:
Europeans were already familiar with the voyage to Africa. They originally tried to use Native Americans as slaves but discontinued because they were dying of over-work and diseases. Native Americans were replaced with Africans because they were immune and already exposed to European diseases.
Explanation:
Answer:
Explanation:
The Spanish economy began to decline because they had never set tax rates on silver and only began doing so sixty years after its discovery, when the money was worth less than before. Along with this, Spain borrowed money from other countries which they could not pay back due to rebellions.
