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umka21 [38]
2 years ago
14

Please show the work on answer

Mathematics
2 answers:
Snezhnost [94]2 years ago
5 0
What’s the question
krek1111 [17]2 years ago
3 0

Answer:

what's the question

Step-by-step explanation:

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Could a set of three vectors in ℝ^4 span all ℝ^4? Explain. What about n vectors in ℝ^m when n is less than m?
Elena-2011 [213]

Answer:

Check the ecplanation

Step-by-step explanation:

A set of three vectors in R^{4} represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).

Let A be that 4x 3 matrix. The columns of A span R^{m}. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span R^{4}. It implies that the set of 3 vectors of A does not span all of R^{4}.

In general, the set of n vectors in R^{m} represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.

And, hence the set of n vectors of A does not span all of R^{m}. for n < m

8 0
3 years ago
What graph matches the equation y+6 =3/4(x+4)?
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th
Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?  

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / \frac{5}{2}m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = \frac{5}{2}m

Volume of the large fridge = \frac{5\times 2}{2} = 5m³

Ratio of the volumes of the large and regular fridge = \frac{5}{2}=2.5:1

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0
3 years ago
What is the constant of proportionality between y and x in the graph?
KatRina [158]

Answer:

y=3x

Step-by-step explanation:

y=kx, where k is constant

3y, 1x...so 3y = 1x

check: looking at the graph at 4.5y, 1.5x where y and x intersect...

4.5=3(1.5)

3 x 1.5 = 4.5

3 0
3 years ago
Which is a quadratic function
eimsori [14]

Answer:

im sorry but i think it is 4

Step-by-step explanation:

5 0
3 years ago
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