Chapter 2 – Part 2 matrices a: Augmented Matrices and Row Operations

Example 1: Decide whether the given matrices are inverses of each other. (Check to see if their product is the identity matrix ) a)

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• Finding the Multiplicative Inverse of a Matrix Step 1
• Step 3
• D: Using Matrix Inverses to Solve Systems of Equations
• Solving A System of Equations Using the Inverse Method 1.
• We already found the inverse of this matrix in exercise 2d on page 12. Go back and copy that answer here

Example 1: Decide whether the given matrices are inverses of each other. (Check to see if their product is the identity matrix ) a) b) c) Finding the Multiplicative Inverse of a Matrix Step 1: Form an augmented matrix that looks like Step 2: Perform row operations to get the matrix in the form if possible. Step 3: Matrix is Example 2: Find the multiplicative inverse of each matrix a) b) c) (Example 2 continued) : Find the multiplicative inverse of each matrix d) e) D: Using Matrix Inverses to Solve Systems of Equations (Lessons 2.5 pg 111-115) Any system of equations can be written as where the square coefficient matrix the column matrix of the variables the matrix of constants Example: Solving A System of Equations Using the Inverse Method 1. Find the , the inverse of the coefficient matrix 2. Multiply 3. Check your answers Example 1: Solve each system of equations by using the inverse of the coefficient matrix. a) (Example 1 Continued): Solve each system of equations by using the inverse of the coefficient matrix. b) c) We already found the inverse of this matrix in exercise 2d on page 12. Go back and copy that answer here: (Example 1 continued): Solve each system of equations by using the inverse of the coefficient matrix. d) Directory: cms -> lib -> IN01001885 -> Centricity -> Domain lib -> 1. naclo 2017 – North American Computational Linguistics Olympiad lib -> Chem I honors Unit 2 Notes: Numbers in Chemistry Measurement lib -> Sanderson High School ap human Geography Summer Assignment 2016 lib -> Find fantastic ousd elementary music programs lib -> American Studies Pacing Calendar 2014-2015 lib -> The ap history Timeline 8000bce-the Present lib -> Absolutism in Europe Domain -> Ace college algebra II notes Domain -> Preferring Active Voice This sentence is written in active voice Download 108.66 Kb. Share with your friends: