Math 102/Chapter 8

Chapter 8: Systems of Equations and Matrices

Chapter 8: Systems of Equations and Inequalities

• Systems of linear equations: substitution, elimination
• Systems of linear equations: matrices
• Systems of linear equations: determinants
• Matrix algebra
• Partial fractions decomposition
• Systems of nonlinear equations
• Systems of inequalities
• Linear programming

Chapter 8 Objectives

Section 8.1:

• Solve systems of equations by substitution
• Solve systems of equations by elimination
• Identify inconsistent/impossible linear systems
• Express solution of system of dependent equations containing two variables
• Solve systems of three equations containing three variables
• Identify incosnistent ssytems of equations with 3 variables
• Express solution of system of dependent equations containing three variables

Section 8.2:

• Write augmented matrix of system of linear equations
• Write the system of equations from augmented matrix
• Perform row operations on matrix
• Solve system of linear equations using matrix

Section 8.3

• Evaluate 2x2 determinant
• Use Cramer's rule to solve system of equations with two vars
• Evaluate 3x3 determinant
• Use Cramer's rule to solve a 3x3 system
• Know the properties of determinants

Section 8.4

• Find sum and diff of two matrices
• Find scalar multiples of a matrix
• Find product of 2 matrices
• Find inverse of a matrix
• Solve system of linear equations using an inverse matrix