Final answer:
To solve the given equation using matrix multiplication, find the inverse of the coefficient matrix and multiply it with the constant matrix.
Step-by-step explanation:
To solve the equation [3 2 5 4 2 1 2 1 1] [x1 x2 x3] = [3 6 5], we can use matrix multiplication. The equation can be represented as:
|3 2 5 4 2 1 2 1 1| |x1| |3|
|3 2 5 4 2 1 2 1 1| x |x2| = |6|
|3 2 5 4 2 1 2 1 1| |x3| |5|
To solve for x1, x2, and x3, we can calculate the inverse of the coefficient matrix [3 2 5 4 2 1 2 1 1] and then multiply it with the constant matrix [3 6 5].