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AlexFokin [52]
4 years ago
8

Suppose the matrix representing a system of difference equations contains a column of zeros. What does this imply about the syst

em?
Mathematics
1 answer:
zhuklara [117]4 years ago
5 0

Answer:

It is a singular matrix system.

Step-by-step explanation:

A column of all zeros in a matrices says that the variable associated with that column has no effect on the output.

For example If the first column of a matrix consists of zeros, this means that the coefficient of the first variable is zero in every equation in the system . This means that if there is any solution at all, then there must be an infinite number of them, since you can set that first variable to any value at all and still satisfy all of the equations.

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matrenka [14]

Answer:

10\sqrt{2}

Step-by-step explanation:

The given is a special right triangle with angle measures as follows:

45-45-90

The side lengths for this special right triangle are represented as follows:

a (the side length that sees angle measure 45)

a\sqrt{2} (the side length that sees angle measure 90)

İn the image we can see that one of the side length that sees angle measure 45 is 10

so c, the side length that sees angle measure 90 (hypotenuse),

is equal to

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2 years ago
$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
Marianna [84]

Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
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Step-by-step explanation:

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united State

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