Matrix Inverse Method Error Analysis
Consider a system of linear equations with the coefficient matrix $A = \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}$. A student attempting to solve this system using the matrix inverse method arrives at an incorrect solution. The student’s work shows that the determinant of $A$ was calculated as 1, whereas the correct value is -2. Which of the following describes the error that occurred?
They mistakenly used row reduction instead of calculating the inverse directly.
They attempted to use the matrix inverse method on a singular matrix, which is not invertible.
They swapped the order of the coefficients, which led to systematic errors in every row.
They incorrectly computed the determinant of the coefficient matrix, resulting in an incorrect inverse matrix.
Question Leaderboard
Not enough data yet to show leaderboard.