ComputerScienceExpert

(11)

$18/per page/

About ComputerScienceExpert

Levels Tought:
Elementary,Middle School,High School,College,University,PHD

Expertise:
Applied Sciences,Calculus See all
Applied Sciences,Calculus,Chemistry,Computer Science,Environmental science,Information Systems,Science Hide all
Teaching Since: Apr 2017
Last Sign in: 5 Weeks Ago, 3 Days Ago
Questions Answered: 4870
Tutorials Posted: 4863

Education

  • MBA IT, Mater in Science and Technology
    Devry
    Jul-1996 - Jul-2000

Experience

  • Professor
    Devry University
    Mar-2010 - Oct-2016

Category > Math Posted 20 Apr 2017 My Price 9.00

Chem 120A, Fall 2016 Problem Set 1

problem 3 and 4 in the attached file please give detailed procedures thank you

 

 

Chem 120A, Fall 2016 Problem Set 1 Due in G13 Gilman on Sep 2 at 4pm 1. Show that two of the following operators are linear and that one is not. (()) = + 3() (( )) = 5 1 ()
2 (()) = ∫ ( − )3 ()
0 2. Consider the inner product space consisting of all linear combinations of sin() and cos() with
the inner product: ⟨|⟩ = ∫ ∗ ( )( )
0 a) What is the matrix representation of the operator if we take sin() and cos() to be our basis functions?
b) Show that the vectors |⟩ = and |⟩ = − are orthogonal in this space.
c) Find the scalar so that |⟩ and |⟩ form an orthonormal basis. d) What is the matrix representation of in this basis?
e) What is special about the basis formed by |⟩ and |⟩? 3. Using the inner product ⟨| ⟩ = ∫ ∗ ()( ) in a vector space for which all vectors satisfy () = () = 0, show that is a Hermitian operator but that is not. 4. Consider the vector space of all 20 by 20 complex-valued matrices. Show that one of the following
forms involving the matrix trace (Tr) is a valid inner product but that the other is not. Here we use +
to represent the conjugate transpose of the matrix . (Hint: singular value decompositions are very
useful things, and matrix traces and unitary matrices have many interesting properties.)
⟨| ⟩ = Tr() ⟨ | ⟩ = Tr(+ )

Attachments:

Answers

(11)
Status NEW Posted 20 Apr 2017 01:04 AM My Price 9.00

-----------

Attachments

file 1492651315-Solutions file 2.docx preview (51 words )
H-----------ell-----------o S-----------ir/-----------Mad-----------am ----------- Th-----------ank----------- yo-----------u f-----------or -----------you-----------r i-----------nte-----------res-----------t a-----------nd -----------buy-----------ing----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n. -----------Ple-----------ase----------- pi-----------ng -----------me -----------on -----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill----------- be----------- qu-----------ick-----------ly -----------onl-----------ine----------- an-----------d g-----------ive----------- yo-----------u e-----------xac-----------t f-----------ile----------- an-----------d t-----------he -----------sam-----------e f-----------ile----------- is----------- al-----------so -----------sen-----------t t-----------o y-----------our----------- em-----------ail----------- th-----------at -----------is -----------reg-----------ist-----------ere-----------d o-----------n -----------THI-----------S W-----------EBS-----------ITE-----------. ----------- Th-----------ank----------- yo-----------u -----------
Not Rated(0)