PPT-EEE 244-3: MATRICES AND EQUATION SOLVING

Application of Matrices Matrices occur in solution of linear equations for Electrical Engineering problems Example of linear equations Voltagecurrent relation V 1 Z 11 I 1. Lesson Objective:. An equation is like a set of scales.. To keep it balanced, whatever you. do to one side you must do to the other.. Use this idea to solve equations like:. 3x + 1 = x + 7 . 2 (3x + 1) = 3 (x – 2). Revision: Substitution. Solve for one variable in one of the equations.. Substitute this expression into the other equation to get one equation with one unknown.. Back substitute the value found in step 2 into the expression from step 1.. (in three variables). Section 1.4 beginning on page 30. A Linear Equation in Three Variables. What Does This Look Like?. Solving Algebraically. Examples. Solve each system:. Example 1: . Example 2 : . Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Solving a Problem by Creating an Equation. Toucans and blue-and-yellow macaws are both tropical birds. The length of an average toucan is about two thirds of the length of an average blue-and-yellow macaw. Toucans are about 24 in. long. What is the length of an average blue-and-yellow macaw?. Part 1. -9 +2X = 5X + 12. -2X. -2X. -9 = . 3X. + 12. -12. -12. -21 = 3X. 3. 3. X = -7. -5 – X = 4X - 15. 1. +1X. +1X. -5 = 5X - 15. +15. +15. 10 = 5X. 5. 5. X = 2. 12X + 3 = 4X + 27 - X. 12X + 3 = . Solving an Absolute Value Equation. You have already used graphs and mental math to solve some absolute value equations. For instance:. 8 and -8. This has two solutions:. Solving an Absolute Value Equation. (in three variables). Section 1.4 beginning on page 30. A Linear Equation in Three Variables. What Does This Look Like?. Solving Algebraically. Examples. Solve each system:. Example 1: . Example 2. : . Lecture 4. Books Recommended:. Lectures on Quantum Field Theory by Ashok Das. Advanced Quantum Mechanics by . Schwabl. Relativistic Quantum Mechanics by Greiner. . Quantum Field Theory by Mark . Srednicki. Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Equations Using Algebra Tiles . Objectives. Solving Equations Involving the Distributive Property. Solving Multi-Step Equations. Solving Equations. The development of the equation solving model is based on two ideas.. Chapter 3.8. Square Matrix. Although a matrix may have any number of rows and columns, . square matrices. have properties that we can use to solve systems of equations. A square matrix is one of the form . In 1928 Dirac proposed the following form for the electron wave equation:. The four . . µ . matrices form a Lorentz 4-vector, with . components, µ. That is, they transform like a 4-vector . under Lorentz transformations between moving . BICA Presentation EU Conference September 2016. . Leadership. . Opportunities. . Governance. . Social responsibility. . Financing. . Inspiration. . . Vision. . Demand. . Employment. .  .