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Musya8 [376]
3 years ago
10

Scientific notation of 0.00247

Mathematics
2 answers:
almond37 [142]3 years ago
6 0
2.47 times 10 to the -3rd
iris [78.8K]3 years ago
5 0
Well thats easy. 2.47x10"-3"
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A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a
ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

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A...

Step-by-step explanation:

Not completely sure. :<

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maw [93]

When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.

<h3>What is an objective function?</h3>

An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.

In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.

Learn more about objective function on:

brainly.com/question/26100401

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4 friends earn $10.40 for washing a car. how each did each friend get
uysha [10]

Answer:

$2.60

Step-by-step explanation:


6 0
3 years ago
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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2x + 6. What is the
matrenka [14]

Answer: y-8=-2(x+3)

Step-by-step explanation:

See attached image, it's direct formula substitution.

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