Explain why col a = (nul at)?

Assignment Help Mathematics

Reference no: EM131074372

Use the steps below to prove the following relations among the four fundamental subspaces determined by an m X n matrix A.

a. Show that Row A is contained in (Nul A)⊥. (Show that if x is in Row A, then x is orthogonal to every u in Nul A.)

b. Suppose rank A = r. Find dim Nul A and dim (Nul A)⊥, and then deduce from part (a) that Row A = (Nul A)⊥.

c. Explain why Col A = (Nul AT)⊥.

Reference no: EM131074372

Questions Cloud

What are the strengths and weaknesses of this approach : Deviant behavior is a natural disposition. Which theoretical approach best explains deviant behavior? Support your opinion with factual information and explain your reasoning.

900 word-interpretive analysis paper of character : 900 word-interpretive analysis paper of character and his or her contribution to the story. fthe essay should describe and analyze the character and his or her role or roles in the story although the essay should primarily argue for how chaacter c..

How has prosecutorial role in juvenile courts changed : How are juvenile courts becoming increasingly adversarial proceedings? How has the prosecutorial role in juvenile courts changed in recent years?

Ethics in criminal procedure : Write a paper detailing the significance of ethics in criminal justice and criminal procedure. In your paper: Summarize your working definition of ethics. Define ethics within the context of criminal justice.

Explain why col a = (nul at)? : Show that Row A is contained in (Nul A)⊥. (Show that if x is in Row A, then x is orthogonal to every u in Nul A.)

Provide an effective treatment to a diverse poll of patients : What specific strategies should a mental health professional need to take in order to provide an effective treatment to a diverse poll of patients

Should confidentiality of juvenile records be maintained : Should confidentiality of juvenile records be maintained? Why, or why not? Should there be exceptions to juvenile records being sealed? What would be some exceptions to having the records being unsealed?

Explain the prison population trends in the united states : Write a 3 page APA style paper: Identify the different types of offenders in the corrections system. Explain the prison population trends in the United States.

Discussing cultural differences with your client : Remember, all of us will deal with diversity, working with individuals from differing cultures than your own....even if you are not working in the Mental Health Field. What are your thoughts on discussing cultural differences with your client? Ex..

User Account

All Pages