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makvit [3.9K]
3 years ago
5

what is the answer for this question and can tell me how to do this problem too. 791 + 11 > 959 − 13

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

The question is false

Step-by-step explanation:

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Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
2 years ago
identify a pattern in the given list of numbers. then use this pattern to find the next number.​ 1,5,1,10,1,20,1
saw5 [17]
40 the answer is 40. It’s very easy
5 0
2 years ago
please help!!!!! what will be the balance in an account that was initially $400 and has been drawing 5.5% interest compounded co
Viktor [21]

Answer:

  $621.08

Step-by-step explanation:

The formula for the amount (A) resulting from principal P being invested at rate r continuously compounded for period t is ...

  A = Pe^(rt)

Filling in the given numbers and doing the arithmetic, we get ...

  A = $400e^(0.055·8) ≈ $621.08

4 0
2 years ago
I have a 6 in the tens place and 7 in the ones place .I am greater than 200 but less than 400. what number am I?​
Alinara [238K]
Either 267 or 367. Is there more info?
3 0
2 years ago
Read 2 more answers
Select the equation that most accurately depicts the word problem.
bekas [8.4K]

Answer:

$4.85n = $24.52 where n = 5

If this doesnt match any of the equations, see if you can add the answer choices to your question

7 0
3 years ago
Read 2 more answers
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