PPT-Lecture Five Characteristic roots & characteristic vectors of a matrix

Author : naomi | Published Date : 2023-10-29

The characteristic roots of the pp matrix A are the solutions of the following determinant equation Laplace expansion is used to write the characteristic polynomial

Presentation Embed Code

Download Presentation

Download Presentation The PPT/PDF document "Lecture Five Characteristic roots &..." 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.

Lecture Five Characteristic roots & characteristic vectors of a matrix: Transcript


The characteristic roots of the pp matrix A are the solutions of the following determinant equation Laplace expansion is used to write the characteristic polynomial as Since . Fundamental system in linear algebra : system of linear equations . A. x . = . b. . nice case – . n. equations, . n. unknowns. matrix notation. row picture. column picture. linear combinations. For our matrix, can I solve . At the end of yesterday, we addressed the case of using the dot product to determine the angles between vectors. Similar to equations from algebra, we can talk about relationship of vectors as well. Parallel. of a series of preparatory lectures for the Fall 2013 online course MATH:7450 (22M:305) Topics in Topology: Scientific and Engineering Applications of Algebraic Topology. Target Audience: Anyone interested in . GENETIC. . ENGINEERING. Genetic engineering is the manipulation of genetic materials which can be introduced in the host organisms and thus change the phenotype of the host organism.. A.D. . Rollett. Vectors, Matrices, . Rotations. , . Axis Transformations. Most of the material in these slides originated in lecture notes by Prof. Brent Adams (. now emeritus . at BYU). . Last revised: 9 Nov. ‘11. Matrices. Definition: A matrix is a rectangular array of numbers or symbolic elements. In many applications, the rows of a matrix will represent individuals cases (people, items, plants, animals,...) and columns will represent attributes or characteristics. Application of Matrices. Matrices occur in solution of linear equations. . for Electrical Engineering problems. Example of linear equations: . . Voltage-current relation. V. 1 . = Z. 11. I. 1. Motivating Question. : An Airplane flies north with an airspeed of 575 mph. If the wind is blowing 30° north of east at 50 mph, what is the speed of the plane as measured from the ground? What if the wind blew south of west?. vectors and matrices. A vector is a bunch of numbers. A matrix is a bunch of vectors. A vector in space. In space, a vector can be shown as an arrow. starting point is the origin. ending point are the values of the vector. . example:. ..  .  .  . where . are unit vectors in x, y and z directions..  . .  .  .  .  . Both, position vector of point A and point A have the same coordinates:. Vector as position vector of point A in . English 2. Directions. Take notes on your new roots.. Materials: . RAW Book. Pen / pencil. Fus. . Definition: pour. Example: profuse – abundant or plentiful . Other examples? . Fusion, infuse . Challenge Word: effusive (. . Vectors. . . . When an object moves along a straight line, its velocity can be determined by a single number that represents both magnitude and direction. (forward if positive and backward if negative.. Scalar. A . SCALAR. is ANY quantity in physics that has . MAGNITUDE. , but NOT a direction associated with it.. Magnitude. – A numerical value with units.. Scalar Example. Magnitude. Speed. 20 m/s. Any vector can be resized by multiplying it by a real number (scalar).. Multiplying by positive scalar changes magnitude only.. Multiplying by a negative scalar changes the magnitude and its direction..

Download Document

Here is the link to download the presentation.
"Lecture Five Characteristic roots & characteristic vectors of a matrix"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