Question
Let A be an n x n matrix. Prove that det(A*) = det(A).
Expand
Transcribed Image Text

Let A be an n x n matrix. Prove that det(A*) = det(A).

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: Solve the following pair of linear equations by the substitution and cross- multiplication methods:8...

A: Given pair of linear equations:

Q: x/4 + 2 = 1/2 - x

A: Given expression is,

Q: A leading library has a fixed charge for the first three days and an additional charge for each day ...

A: Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs y respective...

Q: A wall is 500 sq. feet. A gallon of paint covers 160 sq. feet. What is an appropriate conversion fac...

A: Consider the provided statement of the question,Given, a wall is 500 sq. feet and a gallon covers 16...

Q: Uses pemdas and rational numbers, i just need a step by step to get to the stolution, thanks.

A: Using PEMDAS rule, we have to work with in the parenthesis first. 

Q: -36r^6n^6+42r^5n^7-36r^3n^4 factoring

A: Factorize the following expression

Q: Label the following statements as being true or false. a) An inner product is a scalar-valued functi...

A: Hey since there are multiple subparts the first four is answered. If any other subpart is required k...

Q: Let the universal set be the set of integers and let A​ = {x​|xsquared ​≤ 5}. Write A using the rost...

A: Let the universal set be U and the set A is defined as follows.

Q: One rule of thumb in the fast-food restaurant business is a "4 times markup": The price of a food it...

A: We have been given that the cost of ingredients used in making a taco is $1.50. As per the thumb rul...

Q: Solve the following exponential and logarithmic equations. When appropriate, write the answer as bot...

A: 1.Consider 10^6x = 3^(3x+4)

Q: Choose the correct option: If the system of equation 2x + 3y = 7 and 29x + (a + b) y = 28 has infini...

A: Given:If the system of equation 2x + 3y = 7 and 29x + (a + b) y = 28 has infinitely manysolutions, t...

Q: Solve the following pair of linear equations by the elimination method and the substitution method:x...

A: Given,

Q: find an equation of the line containing the given pair of points. (3,5) and (9,7)

A: Consider the given points.

Q: A circular garden has a diameter of 12 feet. About how much trim is needed to surround the garden by...

A: Find the circumference of garden.

Q: The sum of two consecutive even integers is 26. What are the two numbers?

A: Given:

Q: A train leaves union station for central station, 216 km away at 9am. One hour later a train leaves ...

A: Let the speed of the  train which leaves union station for central station is x km/hour . Let call t...

Q: lumenohm Course Messages Forums Gradebook Home> MTE 8 Spring 2020 Online > Assessment 8.3Homework Sc...

A: Combine the radicals

Q: One ounce of solution X contains only ingredients a and b in a ratio of 2:3. One ounce of solution Y...

A: Click to see the answer

Q: The sum of two numbers is 16. The difference is 4. What are the two numbers?

A: Let x and y be the required numbers.

Q: Evaluate the determinant of each of the following matrices by expanding along the second column and ...

A: Click to see the answer

Q: wered ify: 36x°y? . 36xy? 3..2 les to represent positive values. DVideo O Post to forum on

A: Given:

Q: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the...

A: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the...

Q: When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find ...

A: Find original number of boys and girls.

Q: Find the next number  -729,243,-81,27,-9

A: Given:

Q: What does the Associative law of addition states?

A: To state the “Associative law of addition”

Q: Let V be an inner product space, and suppose that x and y are orthogonal elements of V. Prove that |...

A: Given:

Q: Simplify the following expression 12x2-6 +5x-8x2-9

A: given:

Q: The path of a train A is given by the equation x + 2y – 4 = 0 and the path of another train B is giv...

A: Let us write  x + 2y – 4 = 0 in y=mx+b form 

Q: Evaluate for n equals -2 n2+9n+3

A: The given expression is

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.7 meg...

A: Given:Size of standard version = 2.7 MBSize of High Quality version = 4.4 MBLet the number of standa...

Q: Find three consecutive integers such that one half of their sum is between 15 and 21.

A: Let x, x + 1, x + 2 are three consecutive integers. Now, half of their sum is between 15 and 21

Q: Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $...

A: According to the given information:Amount invested by Alex in company’s stock = $2000After a year, t...

Q: MuGe Use cell te elements and ist get f each get n, notatron of /323 3S17,22, 27, 47, 3 DZ 2C/7C 13 ...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of wheat flour. A tray of pumpkin...

A: Let blueberry muffins be x and the wheat flour be y. Baking a tray of blueberry muffins takes 4 cups...

Q: Store A sells CDs for 2 dollars each if you pay a one-time fee of 104 dollars. Store B offers 12 fre...

A: Given:Store A sells CDs for 2 dollars each if you pay a one-time fee of 104 dollars.Store B offers 1...

Q: Hi, want to get from H down answered please.

A: Given,

Q: I am needing help with question 20. I do not understand it.

A: Given:The length of the rectangle is twice the width and perimeter of the rectangle is 30cm.Let L be...

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many solutions...

A: It is required to first check whether the given set of problem have unique solution or not.

Q: 5.Consider the following system of linear equations: 4x +2y = 25 4x – y = -5 If y = 10 in the soluti...

A: Given y=10 is in the solution. We have to plug y=10 in any of the two equations and solve for x.

Q: Solve the following pair of linear equations by the substitution method.   Five years hence, the age...

A: Click to see the answer

Q: A plane flies 500 mi/h. The plane can travel 1100 miles with the wind in the same amount of time as ...

A: Let w be the speed of the wind.

Q: The average person breathes 6 times per minute (at rest), inhaling and exhaling half a liter of air ...

A: Given:The average person breathes 6 times per minute (at rest), inhaling and exhaling half a liter o...

Q: n-3/4+n+5/7=5/14

A: Given:

Q: An investor invests 5000 dollars at 10% and the rest at 5%. How much was invested at 5% if the yield...

A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

Q: Solve 23x – 29y = 98                             29x – 23y = 110.

A: Given the linear equations

Q: C of linear equations has unique solution, no solution, or infinitely many solutions?In case there i...

A: The given equation are,

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many solutions...

A: Compare both the equation with general equation.Consider equation (1),