Solving Simultaneous Equations by Matrix Inverse

1 / 7

# Solving Simultaneous Equations by Matrix Inverse - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Solving Simultaneous Equations by Matrix Inverse' - nysa

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Solving Simultaneous Equations by Matrix Inverse

Problem 2.5 # 37

Presented by E. G. Gascon

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

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

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

Solve for X matrixX = A -1 B

=

Times

Use matrix multiplication or

MMULT function in Excel.

Ans: (15, -5, -1)