1 / 7

Solving Simultaneous Equations by Matrix Inverse

Solving Simultaneous Equations by Matrix Inverse. Problem 2.5 # 37 Presented by E. G. Gascon. The Problem. How to solve. To solve a system of equations AX = B, where A is the matrix of coefficients. B is the matrix of constants. Need to find A -1 the inverse of A.

nysa
Download Presentation

Solving Simultaneous Equations by Matrix Inverse

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Simultaneous Equations by Matrix Inverse Problem 2.5 # 37 Presented by E. G. Gascon

  2. The Problem

  3. How to solve To solve a system of equations AX = B, where A is the matrix of coefficients. B is the matrix of constants. Need to find A-1 the inverse of A So… solving for X = A -1 B

  4. Finding A-1 Start by setting up the matrix with the identity in the last three columns After performing Gauss-Jordan, the resulting matrix is A-1 See next slide for Gauss- Jordan Work

  5. Gauss –Jordan to find A-1

  6. Alternate way to get A-1 using Excel Function MINVERSE Step 1: Enter the 3X3 coefficient matrix in an Excel Spread Sheet. Step 2: Select a 3X3 matrix of empty cells and type =MINVERSE( matrix is step 1) Ctrl + Shift + ENTER

  7. Solve for X matrixX = A -1 B = Times Use matrix multiplication or MMULT function in Excel. Ans: (15, -5, -1)

More Related