APFIVE Matrix Inverse Method Error Analysis
In an engineering experiment, a student attempted to solve a system of linear equations using the matrix inverse method. While computing the coefficient matrix, the student miscalculated the determinant, resulting in an incorrect inverse matrix and wrong solution. What mistake did the student make?
| Equation 1 | Equation 2 | |
|---|---|---|
| Coefficients | 2, 3 | 4, 5 |
| Determinant computed | 1 | (Correct value: -2) |
A
They incorrectly computed the determinant of the coefficient matrix, resulting in an incorrect inverse matrix.
B
They mistakenly used row reduction instead of calculating the inverse directly.
C
They swapped the order of the coefficients, which led to systematic errors in every row.
D
They attempted to use the matrix inverse method on a singular matrix, which is not invertible.
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