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
yuradex [85]
3 years ago
5

How to do ii) Deduce A^-1 = A^2 based on A^3=I

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Multiply by A^{-1} on the right of both sides of A^3=I, then use the fact that matrix multiplication is associative.

If A^3=I, then

A^3A^{-1}=IA^{-1}

A^2(AA^{-1})=A^{-1}

A^2I=A^{-1}

\implies A^2=A^{-1}

You might be interested in
!!!!!!!!!!!!!!!!!!!!!!!!!! Plz
krok68 [10]

Answer:

The Option is A.

Acute angle:

Acute angle is the angle whose measure angle is less than 90°.

Since ,∠ LHF is 90° and ∠ KHL is within ∠ LHF

∴ ∠ KHL is an Acute angle.

Step-by-step explanation:

Acute angle:

Acute angle is the angle whose measure angle is less than 90°.

Since ,∠ LHF is 90° and ∠ KHL is within ∠ LHF

∴ ∠ KHL is an Acute angle.

Right angle:

The measure of an angle equal to 90° is called a right angle.

∠ LHF is a right angle.

Obtuse angle:

Obtuse angle is the angle whose measure angle is more than 90°.

∠ LHJ is an obtuse angle.

Corresponding angle:

Corresponding angles are formed in parallel lines with a transversal.

In the given figure we do not have any corresponding angles

3 0
3 years ago
Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an
levacccp [35]

Answer:

m(n) = 24 (0.75)^n

Step-by-step explanation:

1) <u>The two points are</u>:

a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>

b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>

2) <u>The general equation using the form given is</u>:

m(n)=A(B)^n

3) <u>Substitute the two points</u>:

18=A(B)\\ \\ 13.5=A(B)^2

4) <u>Divide the second equation by the first one</u>:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) <u>Substitue B = 0.75 into the first equation</u>:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

m(n) = 24 (0.75)^n

5 0
4 years ago
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town
Bas_tet [7]

Answer:

58.333....

Step-by-step explanation:

8cm=50

1cm so 25/3

8.3333333333

5 0
3 years ago
Read 2 more answers
Two students, Raymond and Shauna, are trying to get city council members to vote for a new park along the river. 3/4 of the 24 c
timofeeve [1]
This question says that its 3/4 of 24, thats would be 18.... and since they need 13 they're done! :)
4 0
3 years ago
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a stand
Pani-rosa [81]

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

7 0
3 years ago
Other questions:
  • Your family needs a set of 4 tires.Which of the following deals would you prefer?Explain.
    8·2 answers
  • What expression is equivalent to 5(a + a + a )
    11·2 answers
  • Solve the equation for X.
    7·1 answer
  • Four friends ordered a pizza.Christopher ate 1/5, Emma ate 0.27, and Jamie ate the rest.what percent did Jamie eat?
    12·1 answer
  • Ron wants to buy a video game with a selling price of ?$36?, on sale for? 50% off. The sales tax in his state is 5.5 %. How much
    12·1 answer
  • Xavier and Shannon both tutor on the weekends. Xavier made $63 after 3 hours of tutoring. Shannon made $95 after 5 hours of tuto
    10·2 answers
  • What will the y-coordinate/value be for A' (A
    15·1 answer
  • How to put -2(-6x+3y-1) in distributive property
    6·1 answer
  • I Need Help With This Part A &amp; Part B Question!
    7·2 answers
  • What is the form of the Difference of Squares identity?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!