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
Ostrovityanka [42]
3 years ago
8

T F IfA and B are similar matrices, then AT=BT

Mathematics
1 answer:
muminat3 years ago
7 0

Answer:

Step-by-step explanation:

We know that for two similar matrices A and B exists an invertible matrix P for which

[tex]B = P^{-1} AP[/tex]

∴ B^{T} = (P^{-1})^{T} A^{T} P^{T} \\

Also P^{-1}P = I\\

and (P^{-1})^{T} = (P^{T})^{-1}

∴(P^{-1})^{T}P^{T} = I

so, B^{T} = (P^{-1})^{T} A^{T} P^{T} = (P^{T})^{-1}A^{T} P^{T}\\B^{T} = A^{T} I\\B^{T} = A^{T}

You might be interested in
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti
Sonja [21]

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

4 0
3 years ago
acceleration is a(t) = 3t and velocity is v(t) = 1 at t = 1, what is the displacement from t = 2 to t = 4
lidiya [134]

Answer:

thanks for any information you are very important the answers to your questions are answered me about human

Step-by-step explanation:

you can make the direction of economics class is study about the answers the question

5 0
2 years ago
Please someone help me!!!! SHOW ALL WORK! ive been stuck on this question for 2 days!! :((((((
Otrada [13]

Step-by-step explanation:

x² + y² − 8x + 10y − 8 = 0

Rearrange:

x² − 8x + y² + 10y = 8

To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.

(-8/2)² = 16

(10/2)² = 25

x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25

x² − 8x + 16 + y² + 10y + 25 = 49

Factor the squares:

(x − 4)² + (y + 5)² = 49

The center is (4, -5) and the radius is 7.

6 0
3 years ago
Ellie has a bank account balance of -$43.39 if she makes it deposited $50 in your account what will be her new balance?
Nadusha1986 [10]

Her new balance should be $6.61.  

6 0
3 years ago
Read 2 more answers
Can anyone help me pls. Show your work.
nekit [7.7K]

Answer:Do you have a pic of the map? It would  make it easier to solve if I could see the map. Its basic area. A=base times height. If the park is 50 m long and is a square, you would do 50 times 50=2500

tep-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following choices is the y-intercept of the equation –3x – 2y = 10?
    8·1 answer
  • An arithmetic series has seven terms. the first term is 5 and the last term is 53. find the sum of the series!
    14·1 answer
  • PLEASE HELP QUICKLY A scientist is studying the growth of a particular species of plant. He writes the following equation to sho
    7·1 answer
  • Conner and Jana are multiplying (3568)(39610).
    12·2 answers
  • Use similar triangles to calculate the height,h cm, of triangle ABE
    7·1 answer
  • Planet fitness charges a $100 registration fee plus $15 per month to be a member and use their gym. Anytime Fitness charges $40
    13·1 answer
  • If clay cost 16.50 or 50lb how much will it cost for 45 pounds of clay
    9·2 answers
  • Describe how to solve the inequality 3x+4<13 using algebra tiles
    5·1 answer
  • Find dy/dx given that y = sin x / 1 + cos x​
    14·1 answer
  • Colvert the decimal to percent: 0.272
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!