User Account

All Pages

How many square roots can a positive definite matrix have

Assignment Help Algebra
Reference no: EM131026819

A) Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.

B) How many square roots can a positive definite matrix have?

Reference no: EM131026819

Questions Cloud

Find the p value for test statistic : Find the P value for Test statistic  30 for a right-tailed test. d.f. = 18 A)P value 0.05
Draw the lewis structure of the molecule : Using the data in the preceding table and in Appendix C, calculate ?H° and ?G° for the reaction in part (c). Is the reaction exothermic? Is it spontaneous at 298 K?
The population of medium-sized company policy books : What is the average length of a company's policy book? Suppose policy books are sampled from 45 medium-sized companies. The average number of pages in the sample books is 213, and the population standard deviation of 48.
An ornithologist is studying the length : An ornithologist is studying the length (in seconds) of bird calls. Random samplesfrom three different breeds yielded the following results.Breed 1 2.3 1.9 2.1Breed 2 0.8 1.2 1.1Breed 3 2.0 1.4 1.7Use one-way ANOVA to test if the mean call length dif..
How many square roots can a positive definite matrix have : Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
What are some environmental factors you must consider : What are some environmental factors you must consider when marketing your coffee in China? Which one of these factors would have the largest effect on the company's marketing strategy? Explain why.
What is the standard error of the mean : We sample 20 new cars and find the average miles per gallon to be 26 with a standard deviation of 1.7. Q: If we increase our sample size to 40, what is the standard error of the mean?
Find the probability : Assume that women's heights are normally distributed with 64.5 in, and a standard deviation given by 2.3 in. a. if 1 woman is randomly selected, find the probability that her height is less than 65 in. b. if 46 women are randomly selected, find the p..
What are the mean and variance of x : Among 10 people, 2 people have a pulse of 50, 3 have a pulse of 70, 4 have a pulse of 80, and 1 has a pulse of 90.  If X = the pulse of 1 person picked at random from the 10, what are the mean and variance of X? (Make a probability distribution table..

Reviews

Write a Review

Algebra Questions & Answers

  Prove the bolzano-weierstrass theorem

One form of the Bolzano-Weierstrass theorem can be stated as follows: An infinite set of points lying in a closed bounded region R has at least one accumulation point in R.

  Discuss the case when b = 6

Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.

  Question regarding operations on functions

Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why.

  Complete this table of charges based on this company''s plan

Draw a graph on the same set of axes you made for Company A's figures. Use your graph and what you know about linear inequalities to advise Rafaella about which company is best.

  Express the projection of b onto a in terms of these element

Consider two vectors a and b with elements a1,a2,a3 and b1,b2,b3 respectivley. Express the projection of b onto a in terms of these elements. Then do the same for the projection of a onto the axis of b.

  Guass elimination method

Guass elimination method

  Partial investiation of n*n matrices

Show that if c is a nonzero complex number and N is a nilpotent k × k matrix over C, then cI + N has a square root. (First look at I +1 cN.)

  Where tr(a) is the trace of a

For A, B ∈ Mn(F) and s ∈ F, show that: i) tr(A + B) = tr(A) + tr(B); ii) tr(sA) = s⋅tr(A); and iii) tr(AB) = tr(BA), where tr(A) is the trace of A.

  Find the number of kilometres that the car could travel

Explain how you could use your graph to ?nd the number of kilometres that the car could travel on average for £12. Construct a formula for the cost in pounds, C, of travelling x kilometres.

  Solve one side of the problem correctly

Point for solve one side of the problem correctly and points for solve both sides of the problem correctly

  Determine the geometric multiplicity of this eigenvalue

From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.

  Find the vertex and line of symmetry

Find the vertex,line of symmetry, and the maximum or minimum value of f(x). Graph the function.  F(x)= 5 (x+2)2+5 .

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd