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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.
If we know that 180-5=128 that means that that equation must be equal to 128.
(2^3x+1)=128
By putting 128 into exponential form with a base of 2 you get 2^7:
(2^3x+1)=2^7
Since these have the same bases we can set the exponents equal to 7. This will give us an exponent of 3x+1=7. By Subtracting across and dividing by 3 you get:
3x=6 to 3/3x = 6/2
This gives us a final answer of:
x=2
Answer:
i believe the answer is true
Explanation:
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Answer: Look at the explanation.
Explanation: An environmental consequence could be our land. The more land we use for agriculture results in loss of biodiversity. Slash-and-burn kills many trees and plant life. These trees are home to many small animals and now they are homeless and will die unless they adapt and find a new land. A social consequence could be food deserts. Food deserts are caused by and increase poverty and starvation. Nonexistent stores in rural areas do not help the population. People starve and barely have another way of getting healthy food. They rely on fast food chains which do not help with health.
