Octave Basics: Solving Systems of Linear Equations

Goal: Solve a system of Linear Equations

To open up Octave, open up your terminal and type 'octave'. This prompts you with a screen of credits, followed by 'octave:1>'

Let's compose a three dimensional matrix equation, which we will call 'A'

A would be written as so like so:

In terminal, we can write this as A = [3, 2, 4; 2, 0, 2; 4, 2, 3]

If we type 'A' in terminal, the matrix we inputted should be displayed see image be below:

Now we have matrix 'A' in the memory of our terminal session

We will now establish matrix 'b', which is a 3x1 matrix.

Establish matrix 'b' using the same syntax we did with 'A', and recall the matrxi

We will now compute unknown variables x1, x2, and x3. A written representation is in the picture below

We can compute the unknown variables by recalling the two matrices we've composed

Conclusion

We have solved all Unknown variables. We have:

• x1 = 1.50
• x2 = -0.75
• x3 = -0.50