Question

Write a MATLAB program to solve for V₁ ,V₂, and V₃ in different ways based on the augmented matrix from Problem 7.2. Your program must:

Define the 3×3 coefficient matrix A, define the 3×1 array b, and create the augmented matrix Ab from A and b

Answer 1

To solve for V₁, V₂, and V₃ in MATLAB, define a 3x3 coefficient matrix (A) and a 3x1 array (b), create the augmented matrix (Ab), and then use the 'rref' function to solve Ab and obtain the values of V₁, V₂, and V₃.

Step-by-step explanation:

To solve for V₁, V₂, and V₃ in MATLAB, we can define a 3x3 coefficient matrix (A) and a 3x1 array (b), and then create the augmented matrix (Ab) by combining A and b. We can then use the built-in function 'rref' in MATLAB to solve the augmented matrix and obtain the values of V₁, V₂, and V₃. Here is an example of how the program can be implemented:

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];
b = [10; 11; 12];
Ab = [A, b];
rrefAb = rref(Ab);
V₁ = rrefAb(1, 4);
V₂ = rrefAb(2, 4);
V₃ = rrefAb(3, 4);