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
OverLord2011 [107]
3 years ago
15

If A is an n× n matrix, then det A = det AT . Verify this theorem for 2 × 2 matrices.

Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer:

Verified

Step-by-step explanation:

Let A matrix be in the form of

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]

Then det(A) = ad - bc

Matrix A transposed would be in the form of:

\left[\begin{array}{cc}a&c\\b&d\end{array}\right]

Where we can also calculate its determinant:

det(AT) = ad - bc = det(A)

So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices

You might be interested in
Valerie earns $24 per hour. Which expression can be used to show how much money she earns in 7 hours?
UkoKoshka [18]
The answer is B) (7x20) + (7x4)
7 0
3 years ago
Read 2 more answers
school X and school Y play each other in a competition. School X has eight more points that school Y . School X has three times
Alja [10]
Y = 4
x = 12
Why: 4 x 3 = 12
4 + 8 = 12
5 0
3 years ago
Read 2 more answers
A tractor trailer weighs 80,000 pounds. Two tractor trailers come upon a bridge with a sign saying it can only handle 100 tons.
NikAS [45]
Two tractor trailers would weigh 160,000 pounds, which is equal to 80 tons. 100-80= 20 tons that are still available.
3 0
3 years ago
Read 2 more answers
What is the square root of A=121 ft2
storchak [24]

The result of the square root of the equation A = 121 ft² is √A = 11 ft

<h3>What are square roots?</h3>

Square roots are numbers multiplied by itself to give another number

<h3>How to determine the square root?</h3>

The equation is given as:

A = 121 ft²

Take the square root of both sides

√A = √121 ft²

Evaluate the square root

√A = 11 ft

Hence, the square root of the equation A = 121 ft² is √A = 11 ft

Read more about square roots at:

brainly.com/question/98314

#SPJ1

4 0
2 years ago
Which relation is a function?
olya-2409 [2.1K]

Answer:

1,2,4,8,16,32,36,40,48

6 0
3 years ago
Other questions:
  • Am I correct???????????????
    15·1 answer
  • Two fractions that have the sum of 4/5
    7·1 answer
  • 2a+6a=-24<br>what is a? and how do I get the answer?
    5·1 answer
  • Y=4x^2-4x-8 using the quadratic formula
    15·1 answer
  • Anyone got tips for making friends in school?
    15·2 answers
  • What are the vertices of the resulting image P'Q'R’ after rotating the figure 270° about the origin? Choose numbers to complete
    15·1 answer
  • HELP ASAP!!!!! BRAINLIEST
    9·1 answer
  • PLEASE HELP PROBLEM IN PHOTO!
    6·2 answers
  • What is the percent of decrease from 40 to 26?
    12·2 answers
  • Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!