PPT-© 2016 Pearson Education, Inc. Linear Equations in Linear Algebra
Author : min-jolicoeur | Published Date : 2019-11-01
2016 Pearson Education Inc Linear Equations in Linear Algebra LINEAR INDEPENDENCE Slide 17 2 2016 Pearson Education Inc LINEAR INDEPENDENCE Definition A set of
Presentation Embed Code
Download Presentation
Download Presentation The PPT/PDF document "© 2016 Pearson Education, Inc. Linear..." is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
© 2016 Pearson Education, Inc. Linear Equations in Linear Algebra: Transcript
2016 Pearson Education Inc Linear Equations in Linear Algebra LINEAR INDEPENDENCE Slide 17 2 2016 Pearson Education Inc LINEAR INDEPENDENCE Definition A set of vectors v 1 . Calculus Functions of single variable Limit con tinuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Cu rl Vector identities D Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and minima Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Calculus Functions of single variable Limit con tinuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Curl Vector identities Di e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and mini ma Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and minima Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Hermitian skewHermitian and unitary matriceseigenvalues and eigenvectors diagonalisation of matrices CayleyHamilton Theorem Calculus Functions of single variable limit continuity and differentiability Mean value theorems Indeterminate forms and LHos Let be some operator and a vector If does not change the direction of the vector is an eigenvector of the operator satisfying the equation 1 where is a real or complex number the eigenvalue corresponding to the eigenvector Thus the operator will o Calculus Functions of single variable Limit continuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Cu rl Vector identities Di Calculus Functions of single variable limit continuity and differentiability mean value theorems evaluation of definite and improper integrals partia l derivatives total derivative maxima and minima gradient divergence and curl vector identities dir Partial Differential Equations: Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; C (what is that?). What . is linear algebra? Functions and equations that arise in the "real world" often involve many tens or hundreds or thousands of variables, and one can only deal with such things by being much more organized than one typically is when treating equations and functions of a single variable. Linear algebra is essentially a ". Welcome to. Linear Algebra. My name is . Beatrice Williams and . I have been teaching for . 10. . years. I went to . Michigan Technological University . and have a degree in . Secondary . Education with a . Alexander G. Ororbia II. The Pennsylvania State University. IST 597: Foundations of Deep Learning. About this chapter. Not a comprehensive survey of all of linear algebra. Focused on the subset most relevant to deep learning.
Download Document
Here is the link to download the presentation.
"© 2016 Pearson Education, Inc. Linear Equations in Linear Algebra"The content belongs to its owner. You may download and print it for personal use, without modification, and keep all copyright notices. By downloading, you agree to these terms.
Related Documents