Skip navigation

Bookboon.com Download free eBooks and textbooks

Choose a category

Linear Algebra II

Spectral Theory and Abstract Vector Spaces

Linear Algebra II
3.5 (11 reviews)
ISBN: 978-87-403-0241-7
1 edition
Pages : 208
  • Price: 129.00 kr
  • Price: €13.99
  • Price: £13.99
  • Price: ₹250
  • Price: $13.99
  • Price: 129.00 kr
  • Price: 129.00 kr

Download for FREE in 4 easy steps...

We are terribly sorry, but in order to download our books or watch our videos, you will need a browser that allows JavaScript.
After entering your email address, a confirmation email will be sent to your inbox. Please approve this email to receive our weekly eBook update. We will not share your personal information with any third party.
eLib
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39.99 kr p/m
  • Start a 30-day free trial. After trial: €5.99 p/m
  • Start a 30-day free trial. After trial: £4.99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3.99 p/m
  • Start a 30-day free trial. After trial: 39.99 kr p/m
  • Start a 30-day free trial. After trial: 39.99 kr p/m
eLib
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

About the book

  1. Description
  2. Content

Description

This contains the basic abstract theory of Linear algebra. It includes a discussion of general fields of scalars, spectral theory, canonical forms, applications to Markov processes, and inner product spaces.

Content

  1. Spectral Theory
    1. Eigenvalues
    2. Some Applications Of Eigenvalues And Eigenvectors
    3. Exercises
    4. Schur’s Theorem
    5. Trace And Determinant
    6. Quadratic Forms
    7. Second Derivative Test
    8. The Estimation Of Eigenvalues
    9. Advanced Theorems
    10. Exercises
  2. Vector Spaces And Fields
    1. Vector Space Axioms
    2. Subspaces And Bases
    3. Lots Of Fields
    4. Exercises
  3. Linear Transformations
    1. Matrix Multiplication As A Linear Transformation
    2. L(V,W) As A Vector Space
    3. The Matrix Of A Linear Transformation
    4. Eigenvalues And Eigenvectors Of Linear Transformations
    5. Exercises
  4. Linear Transformations Canonical Forms
    1. A Theorem Of Sylvester, Direct Sums
    2. Direct Sums, Block Diagonal Matrices
    3. Cyclic Sets
    4. Nilpotent Transformations
    5. The Jordan Canonical Form
    6. Exercises
    7. The Rational Canonical Form
    8. Uniqueness
    9. Exercises
  5. Markov Chains And Migration Processes
    1. Regular Markov Matrices
    2. Migration Matrices
    3. Markov Chains
    4. Exercises
  6. Inner Product Spaces
    1. General Theory 181
    2. The Gram Schmidt Process
    3. Riesz Representation Theorem
    4. The Tensor Product Of Two Vectors
    5. Least Squares
    6. Fredholm Alternative Again
    7. Exercises
    8. The Determinant And Volume
    9. Exercises
This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.