Question: 5. (a) Let a,ce be unit vectors. Show that there is a unitary matrix U such that 1 ac 0 1 - a*c12 U

5. (a) Let a,ce " be unit vectors. Show that there

5. (a) Let a,ce " be unit vectors. Show that there is a unitary matrix U such that 1 ac 0 1 - a*c12 U 0 0 : 0 0 (b) Let a, b, c, d e C be unit vectors. Let X = ab*, Y = cd* M.(C). As X and Y are rank one matrices, rank (XY - YX)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Programming Language is MATLAB. OILA Proportional Integral Derivative PD coller is a closed-loop controller that is normally used in many industrial application Forumple, a PID controller can be used...

Provide solutions.to the following attachments. Suppose that the business oyole in the United States is best described by R30 theory and that a new technology increases productivity. Show the effect...

In this chapter, we studied the Lie algebra of rotations in great detail, but didn't construct the Lie group through exponentiation, except in some limited examples. In this problem, we'll study the...

Answer.the following attachments. 1.Exchange Rate Overshooting Use the foreign exchange and money market diagrams to answer the following questions about the relationship between the Indian rupee...

Provide solutions. to the following attachments. The budget constraint we considered thus far assumes only lump-sum taxes. In reality, lump-sum taxation is used very rarely. One of the reasons is...

Could you please help with question 304 and 305? Thanks Exercise 293 Exercise 294 Normal matrix Exercise 295 Symmetry Exercise 296 Exercise 297 Thcorcm 2 73 5.7 Localization of eigenvalues One of the...

Could you please help with question 298 and 299? Thanks Exercise 293 Exercise 294 Normal matrix Exercise 295 Symmetry Exercise 296 Exercise 297 Thcorcm 2 73 5.7 Localization of eigenvalues One of the...

Could you please help with question 306 and 307? Thanks Exercise 293 Exercise 294 Normal matrix Exercise 295 Symmetry Exercise 296 Exercise 297 Thcorcm 2 73 5.7 Localization of eigenvalues One of the...

Could you please help with question 304 and 305? Thanks Exercise 293 Exercise 294 Normal matrix Exercise 295 Symmetry Exercise 296 Exercise 297 Theorem 2 73 5.7 Localization of eigenvalues One of the...

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Write a Linux pipeline that prints the eighth line of file z on standard output.

The correct onder of the lattice energies of the following inme compounds i 1) NaCI > MgBr, > CaO > ALO, 3) MEBI, > ALO,> Cao > 2) ALO, MgBr, > Ca0 NaC 4) ALO, > Cao MyBr, NaCI In which of the...

NOTES. To improve your credit score: a . replace older accounts with newer ones b . pay your bills on time c . avoid the use of credit d . replace high interest accounts with low interest accounts

John Smith, a residence of Florida, decides to open an account on Twitter after talking to his friends, all of whom agree that Twitter is great. John goes to the Twitter website, fills in all the...

Do not take criticism personally, even if it is meant to be personal.

2. To understand that as a general rule it takes about 3 minutes before the other part(s) have made up a 90% impression of you.

3. To understand that the first impression means a lot, and it takes a lot of energy to change this first impression.