Daily Vocabulary Coefficient matrix Matrix of constants.

Slides:



Advertisements
Similar presentations
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Advertisements

Using Matrices to Solve a 3-Variable System
UNIT 6.02 Tables of Values & Linear Equations I can identify the unit rate, display it in an x-y table, and write it in a linear equation.
Using Matrices to Solve a System of Equations. Multiplicative Identity Matrix The product of a square matrix A and its identity matrix I, on the left.
Section 8.3 – Systems of Linear Equations - Determinants Using Determinants to Solve Systems of Equations A determinant is a value that is obtained from.
MFM1P Learning Goals: I can solve equations when there are variables on both sides. Lesson 3: Solving Equations Part 3.
Solving Systems of Equations: Elimination Method.
4.5 Solving Systems using Matrix Equations and Inverses.
4.4 & 4.5 Notes Remember: Identity Matrices: If the product of two matrices equal the identity matrix then they are inverses.
3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =
3.5 – Solving Systems of Equations in Three Variables.
4.5 Solving Systems using Matrix Equations and Inverses OBJ: To solve systems of linear equations using inverse matrices & use systems of linear equations.
Section 3.6 – Solving Systems Using Matrices
Inverse Matrices and Systems
4-7 Inverse Matrices & Systems
1.10 and 1.11 Quiz : Friday Matrices Test: Oct. 20.
4.7 Identity and Inverse Matrices and Solving Systems of Equations Objectives: 1.Determine whether two matrices are inverses. 2.Find the inverse of a 2x2.
Identity & Inverse Matrices
Solving Linear Systems by Substitution O Chapter 7 Section 2.
8-1 Completing the Square
4-8 Augmented Matrices & Systems. Objectives Solving Systems Using Cramer’s Rule Solving Systems Using Augmented Matrices.
Direct Variation 3.6. Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is.
4.7 Solving Systems using Matrix Equations and Inverses
GUIDED PRACTICE for Example – – 2 12 – 4 – 6 A = Use a graphing calculator to find the inverse of the matrix A. Check the result by showing.
Warm up. Solving Systems Using Inverse Matrices Systems to Matrices A system of equations in standard form (Ax+By=C) can be written in matrix form [A][X]=[B]
Chapter 4 Section 5 and 6 Finding and Using Inverses Algebra 2 Notes February 26, 2009.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
Do Now Solve using elimination: 3x + 2y = – 19 – 3x – 5y = 25.
3.8B Solving Systems using Matrix Equations and Inverses.
Solving equations with variable on both sides Part 1.
Warm Up Multiply the matrices. 1. Find the determinant. 2. –1 Welcome! I’m so glad you’re here! Please get your Calculator. Please get started on this.
Chapter 5: Matrices and Determinants Section 5.5: Augmented Matrix Solutions.
3.5 Solving Equations with Variables on Both Sides.
Solving Systems of Equations in Three Variables Ordered Triple- The solution of a system of equations in three variables x,y, and z written as (x, y,
Today in Algebra 2 Get a calculator. Go over homework Notes: –Solving Systems of Equations using Elimination Homework.
Algebra Solving Systems with Substitution, Elimination.
Using Matrices to Solve a 3-Variable System
Use Inverse Matrices to Solve Linear Systems
3-5 More on Solving Equations
6) x + 2y = 2 x – 4y = 14.
Notes 7.1 Day 1– Solving Two-Step Equations
Systems of Multivariable Equations
Expressions and Equations Review Day 3
Matrix Equations Step 1: Write the system as a matrix equation. A three-equation system is shown below. First matrix are the coefficients of all the.
Solving Systems in 3 Variables using Matrices
Using Determinants to solve systems of equations
Warm-up 1. After factoring each expression on your warm-up
Differential Equations Separation of Variables
SECTION 2.8 Literal Equations and Dimensional Analysis – Day 1
Find the inverse of the matrix
Use Inverse Matrices to Solve 2 Variable Linear Systems
Solve Linear Equations by Elimination
Find the area of the Triangle
Write Polynomial Functions and Models
Inverse Matrices and Systems
Lesson Combining Like Terms, Continued
4.4 Objectives Day 1: Find the determinants of 2  2 and 3  3 matrices. Day 2: Use Cramer’s rule to solve systems of linear equations. Vocabulary Determinant:
3.6 Solving Systems with Three Variables
Solving Equations with Variables on Both Sides
Lesson Combining Like Terms, Continued
Solving Equations with Variables on Both Sides
Warm Up 12/3/2018 Solve by substitution.
HW L9-2 pg 341 #10-32 evens L9-2 Notes: Solving Addition
Day 69 Literal equations.
TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST
Chapter 2: Solving One-step Equations and Inequalities
1.11 Use Inverse Matrices to Solve Linear Systems
Bell Work Solve for “x” and check your solution
Ch. 6 Vocabulary 7.) Substitution method (6-2) 8.) Elimination method (6-3)
Presentation transcript:

Daily Vocabulary Coefficient matrix Matrix of constants

Matrix Equations 11.3 Day Two

Writing a matrix equation The matrix A is made up of all the coefficients in your system of equations. X is the matrix of variables in the system. And B is the constants in the system. AX=B

Example x+3y=4 3x+5y=2

Write the system of equations as a matrix equation. x-4y=8 3x+2y=6 x-4y=5 4x+y=3 2x-y=4 3x-2y=8

Use a calculator to solve.

Solve the system. x-4y=5 4x+y=3 2x-y=4 3x-2y=8

Homework Pg. 603-604 #9-11, 29-46