Question: Argue that 2 x 2 matrices of rank 1 is a manifold. Denote this space by M(2, 2), i.e. we consider M(2, 2) to

Argue that 2 x 2 matrices of rank 1 is a manifold.   

Argue that 2 x 2 matrices of rank 1 is a manifold. Denote this space by M(2, 2), i.e. we consider M(2, 2) to be a subspace of M2,2 (R) = = R4.

Step by Step Solution

★★★★★

3.41 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The space of 2x2 matrices of rank 1 denoted as M22 can indeed be considered as a manifold In this ca... View full answer

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 Finance Questions!

Q:

In an experiment designed to measure the speed of light, a laser is aimed at a mirror that is 52 km due north. A detector is placed 124 m due east of the laser. The mirror is to be aligned

Q:

Bir Rankine evriminde 6MPa basncnda ve 500C scaklktaki kzgn buhar trbine girmektedir. Trbinden kan 100 kPa basncndaki akkan younlatrcya girmektedir. Buharn ak hznn 40 kg/s ve trbin veriminin %70...

Q:

Read the case study "Southwest Airlines," found in Part 2 of your textbook. Review the "Guide to Case Analysis" found on pp. CA1 - CA11 of your textbook. (This guide follows the last case in the...

Q:

Hi, I have geometry questions. I need your help. Thanks a lot. Problem 6: The product manifold N x M admits two projection maps, which we denote TN : N XM - N TM : N XM - M. Prove that the sum of the...

Q:

Hi, I have geometry questions. I need your help. Please, give me your help. I really appreciate your help. Problem 4: We dene a function (C x R by the formula 05(20321) = (2205, IZOI2 - I21|2)- Argue...

Q:

Hello, I have geometry questions. I need your help. Thanks a lot. Thank you so much. Problem 4: We dene a function (C x R by the formula 05(20321) = (2205, IZOI2 - I21|2)- Argue that if (zo, zl) is a...

Q:

Hi, I have geometry questions. I need your help. Thank you so much. Problem 6: The product manifold N x M admits two projection maps, which we denote TN : N XM - N TM : N XM - M. Prove that the sum...

Q:

22. We draw a large number of simple random samples of size 35 from a large population and use this information to find the sampling distribution of mean value. The resulting sampling distribution...

Q:

Hi, I have geometry questions. I need your help. Thank you so much. Problem 6: The product manifold N x M admits two projection maps, which we denote TN : N XM - N TM : N XM - M. Prove that the sum...

Q:

Hi, I have geometry questions. I need your help. Thanks a lot. Problem 6: The product manifold N x M admits two projection maps, which we denote TN : N XM - N TM : N XM - M. Prove that the sum of the...

Q:

Write a paragraph summarizing the results in Figure 10.3 that is comparable to the paragraph in Chapter 9, Section 9.15 (Summary and Conclusions of Course Evaluation Study) describing the results of...

Q:

Consider Example 5 and the probability values given in Figure 1.38. The company has decided that each television set should be given a quality score calculated in the following manner. A perfect...

Q:

QUESTION 8 1 POINT Find the derivative of f ( x ) = ( - x 6 - 3 x 2 - 6 x ) s i n ( x ) . Provide your answer below: f ' ( x ) = Content attribution

Q:

At December 31, 2020, the available-for-sale debt portfolio for Concord, Inc. is as follows. Security Cost Fair Value Unrealized Gain (Loss) A $33,250 $28,500 $(4,750) B 23,750 26,600 2,850 C 43,700...

Q:

Many organizations that have failed repeatedly lose a belief that they can succeed. They assume failure - and that assumption leads to further failure. Yet a company cannot just fire everyone and...

Q:

Instructions: you first must install the Ecdat package with the command. What code did you use to answer the questions? install.packages("Ecdat") library(Ecdat) head(Cigarette) Questions 1. Create a...

Q:

The State Unemployment Tax Act, better known as SUTA, is a form of payroll tax that all states require employers to pay for their employees. SUTA is a counterpart to FUTA, the federal unemployment...

Q:

Let be a complete, reflexive and transitive preference relation on X. We showed in class that if X is finite, then there is a utility function u that represents . In this question we will see what...

Q:

Question content area topPart 1Which of the following indicates direct variation?Question content area bottomPart 1Choose the correct answer below.A.d equals ks squaredd equals ks squaredB.Upper I...

Q:

The following linear programming formulation is for a transshipment problem: Show the network representation of thisproblem. Min x 12x4 10x2 8x34 10x3s9x4s 12x52 x13x4x21 x52 3 6 2 X42 x13 x34X35 +...

Q:

A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection...

Q:

Office Automation, Inc., developed a proposal for introducing a new computerized office system that will improve word processing and interoffice communications for a particular company. Contained in...

Q:

Rindy Inc. has a popular line of beaded jewellery. Rindy reported net earnings of $21,000 for 2017. Rindy depreciates furniture, fixtures, equipment and automotive assets on a straight-line basis...

Q:

Ochoa Optical, Inc., provides a full line of designer eyewear to optical dispensaries. Ochoa reported the following information for 2016 and 2017:...

Q:

The inventory costing method a company chooses can affect the financial statements and, thus, the decisions of the people who use those statements. Requirements 1. The...