Find the inverse of the matrix

Slides:



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

Here is a preview of one type of problem we are going to solve using matrices. Solve this system of equations:
Answers to page 74 #22-31.
Using Matrices to Solve a 3-Variable System
EXAMPLE 2 Solve a matrix equation SOLUTION Begin by finding the inverse of A = Solve the matrix equation AX = B for the 2 × 2 matrix X. 2 –7 –1.
4.7 Inverse Matrices and Systems. 1) Inverse Matrices and Systems of Equations You have solved systems of equations using graphing, substitution, elimination…oh.
Using Inverse Matrices Solving Systems. You can use the inverse of the coefficient matrix to find the solution. 3x + 2y = 7 4x - 5y = 11 Solve the system.
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.
Chapter 7 Test Prep 7-7: Operations with Functions 7-7: Composition of Functions 7-8: Inverse of relations and functions Choose a section to work on. At.
Matrix Equations Step 1: Write the system as a matrix equation. A three-equation system is shown below.
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.
4.5 Solving Systems using Matrix Equations and Inverses OBJ: To solve systems of linear equations using inverse matrices & use systems of linear equations.
Inverse Matrices and Systems
14.3 Matrix Equations and Matrix Solutions to 2x2 Systems OBJ: Use the Inverse of a 2 x 2 Matrix to solve a system of equations.
4-7 Inverse Matrices & Systems
Do Now: Evaluate: 3AB. Algebra II 3.7: Evaluate Determinants HW: p.207 (4-14 even) Test : Friday, 12/6.
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.
13.6 MATRIX SOLUTION OF A LINEAR SYSTEM.  Examine the matrix equation below.  How would you solve for X?  In order to solve this type of equation,
Advanced Trig Exam Review Day Three: Matrices. Solving Systems of Equations.
Have we ever seen this phenomenon before? Let’s do some quick multiplication…
Use the Distributive Property to: 1) simplify expressions 2) Solve equations.
Section 10.3 and Section 9.3 Systems of Equations and Inverses of Matrices.
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
Using Equations to Solve Percent Problems
One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.
Solving One Step Equations Notes and Practice Problems.
One Answer, No Answers, or an Infinite Number of Answers.
Solve Equations with Rational Coefficients. 1.2x = 36 Check your answer = x Check 1.2x = (30) = 36 ? 36 = 36 ? 120 = -0.24y
4.8 Using matrices to solve systems! 2 variable systems – by hand 3 or more variables – using calculator!
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.
Notes Over 4.4 Finding the Inverse of 2 x 2 Matrix.
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
3.8B Solving Systems using Matrix Equations and Inverses.
Coordinate Systems Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB.
Solving Equations with Addition or Subtraction Medina1.
Using Matrices to Solve a 3-Variable System
Use Inverse Matrices to Solve Linear Systems
Answer the FRONT of the worksheet that was passed out yesterday!
Find the solution of the exponential equation, correct to four decimal places. e x =
Review Problems Matrices
Solve Systems of Equations by Elimination
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.
Evaluate the expression ( i) + ( i) and write the result in the form a + bi. Choose the answer from the following: i i i.
Write the form of the partial fraction decomposition of the function
Express the equation {image} in exponential form
(4, 0) (0, 4) (2, 0) (-4, 0) (0, -4) (0, 2) None of these choices
determinant does not exist
Find 4 A + 2 B if {image} and {image} Select the correct answer.
Find all solutions of the polynomial equation by factoring and using the quadratic formula. x = 0 {image}
Solving Two-Step Equations
Multiplicative Inverses of Matrices and Matrix Equations
Use Inverse Matrices to Solve 2 Variable Linear Systems
Find the area of the Triangle
Inverse Matrices and Systems
Evaluate the limit: {image} Choose the correct answer from the following:
Notes Over 7.4 Finding an Inverse Relation
Use power series to solve the differential equation. y ' = 7xy
Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.
Systems of Equations.
Solving Systems of Equations Using Matrices
Solve the differential equation using the method of undetermined coefficients. y " + 4y = e 3x 1. {image}
Solve the differential equation using the method of undetermined coefficients. y " + 9y = e 2x {image}
Inverse Matrices and Systems
If f is a one-to-one function such that f(8) = 6, what is {image} ?
19. More Solving Equations
Bell Work Solve for “x” and check your solution
Which of the following expressions is the equation of the function {image} {applet}
Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:
Presentation transcript:

Find the inverse of the matrix Find the inverse of the matrix. {image} Choose the answer from the following: {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the inverse of the matrix Find the inverse of the matrix. {image} Choose the answer from the following: {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

x = 5, y = -3, z = -5 x = -3, y = 6, z = -6 x = 3, y = 0, z = -6 Solve the system of equations by converting to a matrix equation and using the inverse of the coefficient matrix. {image} x = 5, y = -3, z = -5 x = -3, y = 6, z = -6 x = 3, y = 0, z = -6 x = 4, y = -5, z = -7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the inverse of the matrix. {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the inverse of the following matrix, where {image} {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50