When using Gaussian elimination to solve a system of linear equations, what is the primary goal for the augmented matrix?
Question 2
Consider the system of equations: $\begin{cases} x + 2y = 7 \ 3x - y = 0 \end{cases}$ Which of the following represents the coefficient matrix for this system?
Question 3
If a system of linear equations has a unique solution, what does this imply about the rank of its coefficient matrix and augmented matrix?
Question 4
What is the inverse of the matrix $A = \begin{pmatrix} 2 & 1 \ 3 & 2 \end{pmatrix}$?
Question 5
When solving a system of linear equations using inverse matrices, if the determinant of the coefficient matrix is zero, what does this indicate?
