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2 years ago

What do you think matrices are used for? What things can be represented with matrices?

Mathematics

1 answer:

emmainna [20.7K]2 years ago

8 0

Answer:

Matrices are a useful way to represent, manipulate and study linear maps between finite-dimensional vector spaces (if you have chosen basis).

Matrices can also represent quadratic forms (it's useful, for example, in analysis to study hessian matrices, which help us to study the behavior of critical points).

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The formula to find the period of orbit of a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbit's mean radius,

Natalija [7]

The answer is $r= \sqrt[3]{GMT^{2}/4 \pi^{2}}$

$T^{2} = \frac{4 \pi^{2}}{GM} r^{3}$

Move $\frac{4 \pi^{2} }{GM}$ to the other side of the equation:
$T^{2} /\frac{4 \pi^{2} }{GM} = r^{3} \\ 
T^{2} *\frac{GM}{4 \pi^{2} } = r^{3}$

Rearrange:
$r^{3} = T^{2} *\frac{GM}{4 \pi^{2} } \\ 
r^{3}= \frac{T^{2} *GM}{4 \pi^{2} } \\ 
r^{3}= \frac{GMT^{2}}{4 \pi^{2} } \\ 
r^{3} = GMT^{2}/4 \pi^{2}$

Since $x^{3}= \sqrt[3]{x}$ , then
$r^{3} = GMT^{2}/4 \pi^{2} \\ 
r= \sqrt[3]{GMT^{2}/4 \pi^{2}}$

3 0

3 years ago

Read 2 more answers

Graph the equation <br><br>2x + 3y = 9

jeka57 [31]

$2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3$

Look at the graph picture I attached

$y = mx + c$

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

$y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)$

8 0

2 years ago

What ia the common ratio of the sequence? -2 , 6, -18, 54,...

Jlenok [28]

Its a multiplication by -3 on each term, so I think you're gonna answer is by r=-3, maybe?

7 0

3 years ago

Does this Graph represent a function? Why or why not?

koban [17]

Answer: Yes

Step-by-step explanation:

To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.

Always remember: a function cannot have two x's with different y-values.

Hope that helped!

3 0

3 years ago

Explain how to graph the in inequality 8>y

insens350 [35]

Answer:

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

1.) Rearrange the equation so "y" is on the left and everything else on the right.

2.) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

4.) Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

Hope This Helps! Have A Nice Day!!

8 0

3 years ago