Final answer:
The augmented matrix corresponding to the system of equations 2x - 3y = 4 and 3x - 2y = 5 is a 2x3 matrix: [2 -3 | 4; 3 -2 | 5], where each row represents an equation and the vertical bar separates the coefficients from the constants.
Step-by-step explanation:
To write the augmented matrix corresponding to the given system of equations, 2x - 3y = 4, and 3x - 2y = 5, we take the coefficients of x and y along with the constants from the right side of the equations and organize them into a matrix.
The resulting augmented matrix is:
\[\begin{bmatrix} 2 & -3 & | & 4 \\ 3 & -2 & | & 5 \end{bmatrix}\]
This matrix represents the system of equations where the first row corresponds to the first equation, and the second row corresponds to the second equation. The vertical bar separates the coefficients from the constants.