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
ArbitrLikvidat [17]
3 years ago
13

Prove the theorem (AB )^T= B^T. A^T

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

(AB)^T = B^T.A^T  (Proved)

Step-by-step explanation:

Given  (AB )^T= B^T. A^T;

To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

(AB)^T = B^T.A^T\\\\Start, from \ Right \ hand \ side\\\\B^T.A^T = \frac{B^T.A^T}{A^T}.\frac{B^T.A^T}{B^T} (multiply \ through) \\\\                = \frac{A^{2T}.B^{2T}}{A^T.B^T} \\\\=\frac{(AB)^{2T}}{(AB)^T} \ \ (factor \ out \ the power)\\\\= (AB)^{2T-T}  \ (apply \ division \ law \ of \ indices; \ \frac{x^a}{x^b} = x^{a-b})\\\\= (AB)^T \ (Proved)

You might be interested in
Lauren has a mask collection of 160 masks. She keeps 88 of the masks on her
ahrayia [7]
I believe it’s 140 maybe.
3 0
3 years ago
4(x + y) in expanding form
Tpy6a [65]

The answer is 4x + 4y

5 0
3 years ago
Pooja's plant began sprouting 222 days before Pooja bought it, and she had it for 989898 days until it died. At its tallest, the
MakcuM [25]

Answer:

Step-by-step explanation:

Given:

function h(t) models the height of Pooja's plant (in cm) where

t is the number of days after she bought it.

Now we have to find about which number type is more appropriate for the domain of h.

That means what values can be taken by the variable "t".

As per the questions, t represents number of days not the hours so it will not be in decimal or fraction value. It can only use integer values for the number of days. like 1, 2, 3 ...,n  

Now as the time is counted after she bought the plant then number of days will be positive.  

Hence answer for the type of domain can be positive integers or you can say integers greater than or equal to 0.

5 0
3 years ago
Read 2 more answers
Given a triangle with side lengths of 20 cm and 7 cm, what is a possible length of the third side?
ANEK [815]

Answer:

hh

you know where there at first place where did in touch shortly me so sorry it's worth your company I had any attachments transmitted for more and they would appreciate hearing how

8 0
2 years ago
Read 2 more answers
Please solve with explanation 8 points
11111nata11111 [884]

Answer:

See below.

Step-by-step explanation:

Given :-

x² + bx + c = 0 if x₁ + x₂ = -b and x₁x₂ = c

Solving :-

a) x₁ = 1/2 and x₂ = -3/4

=> x² + -(1/2 + -3/4)x + 1/2(-3/4)

=> x² + -(-1/4)x + (-3/8)

=> x² + 1/4x - 3/8

=> 8x² + 2x - 3 = 0

b) x₁ = 1 + √5 and x₂ = 1 - √5

=> x² + -(1 + √5 + 1 - √5)x + (1 + √5)(1 - √5)

=> x² - 2x + 1 - 5

=> x² - 2x - 4 = 0

3 0
2 years ago
Other questions:
  • 5.6 as a decimal in simplest form
    12·1 answer
  • What are the cons of graphing, elimination, and substitution?
    9·1 answer
  • How to find the quadrant of an angle over 360?
    13·1 answer
  • The mean of eight numbers is 83. the mean of another four numbers is 14. find the mean of the combined set of numbers.
    12·1 answer
  • Kate divides 12 gallon of water equally among 5 plants.
    14·1 answer
  • How do you get your grades up
    11·1 answer
  • How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5<br> years?
    10·1 answer
  • This table represents a function. plot points to represent the function as a graph. x. -4 , -1, 0, 2. y. 9, 3, 1, -3
    8·2 answers
  • I have no idea what I’m doing Ngl
    6·1 answer
  • Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!