Question
Asked Oct 16, 2019
If U is a square matrix such that UTU I, what can we say about det (U)?
help_outline

Image Transcriptionclose

If U is a square matrix such that UTU I, what can we say about det (U)?

fullscreen
check_circleExpert Solution
Step 1

Step 2

...
det(Uu) det()
det U
det U 1
det A-det A
detUdet U 1
(detU)1
det U 1
help_outline

Image Transcriptionclose

det(Uu) det() det U det U 1 det A-det A detUdet U 1 (detU)1 det U 1

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: b) Is W = {f(x):f is a polynomial with degree <3,f (0) 0} a subspace of P: all 3 ? Explain your answ...

A: To see if the given subset is a subspace of the vector space of all polynomials of degree less than ...

question_answer

Q: Can you please show me how to make a venn diagram using this information? 45. Use the given informat...

A: To construct the Venn diagram representing the information about the three sets , and to count the r...

question_answer

Q: In relation to vectors, lines and planes. (a) Do the lines x/3=y/2=z/2 and x/5=y/3=(z-4)/2 intersect...

A:  (a) Given equations of the lines are,

question_answer

Q: How many quarts can be measured from 2.5 kilograms of honey?

A: Recall the following fact.

question_answer

Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 + ...

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and axe...

question_answer

Q: Solve the system of equations using matrices. Use​ Gauss-Jordan elimination.

A: The augmented matrix of the system is given by,

question_answer

Q: What is the formula to convert 2.2 fluid ounces to cubic centimeters?

A: Recall the following fact.

question_answer

Q: 2 dice are rolled and their up faces are noted. What is the probability both numbers are even given ...

A: We are given that 2 dice are rolled, and their up faces are noted. Now, we need to find the probabil...

question_answer

Q: Order the following from least to greatest: A) 1000 grams B) 1/2 kilogram C) 3 pounds D) 30 ounces

A: The problem is concerned with arranging the amounts (expressed in different units ) in increasing or...