1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksanka [162]
3 years ago
12

How do I do this? please detail steps.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0
Define
{x} =   \left[\begin{array}{ccc}x_{1}\\x_{2}\end{array}\right]

Then
x₁ = cos(t) x₁(0) + sin(t) x₂(0)
x₂ = -sin(t) x₁(0) + cos(t) x₂(0)

Differentiate to obtain
x₁' = -sin(t) x₁(0) + cos(t) x₂(0)
x₂' = -cos(t) x₁(0) - sin(t) x₂(0)

That is,
\dot{x} =   \left[\begin{array}{ccc}-sin(t)&cos(t)\\-cos(t)&-sin(t)\end{array}\right] x(0)

Note that
\left[\begin{array}{ccc}0&1\\-1&09\end{array}\right]   \left[\begin{array}{ccc}cos(t)&sin(t)\\-sin(t)&cos(t)\end{array}\right] =  \left[\begin{array}{ccc}-sin(t)&cos(t)\\-cos(t)&-sin(t)\end{array}\right]

Therefore
x(t) =   \left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] x(t)

You might be interested in
khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter,
Fudgin [204]

Answer:

4.2

Step-by-step explanation:

5 0
2 years ago
Which model represents the product 3/4 x 1/3
dlinn [17]

Answer:

The first one

Step-by-step explanation:

5 0
2 years ago
Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?
Nezavi [6.7K]
The answer is A  A number line with a closed circle on 3-
8 0
3 years ago
Read 2 more answers
Suppose you choose a marble from a bag containing 5 red marbles, 3 white marbles, and 6 blue marbles. You return the first marbl
Aneli [31]
|\Omega|=14^2=196\\
|A|=5\cdot6\cdot2=60\\\\
P(A)=\dfrac{60}{196}=\dfrac{15}{49}
5 0
3 years ago
Please help me!<br> I will give brainly
Natali [406]
1. 80
2. 90
3. 45
4. 98
3 0
2 years ago
Other questions:
  • If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one va
    14·1 answer
  • [2 x 2(2 + 1)^2= please help
    12·1 answer
  • A basket contains 11 pieces of fruit: 4 apples, 5 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket
    9·1 answer
  • Help asap geometry 1 honors!!!!
    15·1 answer
  • To figure out how many vacation days she had left to use, Rosanne looked over her old calendars to figure out how many days of v
    5·2 answers
  • Complete the equation to show how many tenths are equivalent to 1/2​
    10·1 answer
  • Answer please eeeeeeee
    13·1 answer
  • 39x2 Divided by 3-10?
    6·2 answers
  • PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
    8·2 answers
  • Select the correct answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!