Determinant of a matrix with a negative determinant
The determinant of the matrix with a negative determinant with rows (1, 2), (3, 4) is -2. See the full step-by-step working and edit the matrix to try your own.
The 2x2 matrix with rows (1, 2), (3, 4) has determinant -2. The calculator below is loaded with it, so you can follow every step or edit the entries.
Why the answer is -2
A negative determinant means the transformation flips orientation.
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Frequently asked questions
What is the determinant of this matrix with a negative determinant? ▾
It is -2. A negative determinant means the transformation flips orientation.
Is this matrix invertible? ▾
Yes. The determinant is -2, which is not zero, so the matrix has an inverse and its rows are linearly independent.
Can I change the numbers? ▾
Yes — the calculator above is fully editable. Type over any entry and the determinant and every step recalculate immediately.
About this Calculator
The determinant of the matrix with a negative determinant with rows (1, 2), (3, 4) is -2. See the full step-by-step working and edit the matrix to try your own.