2x2 Matrix Determinant Calculator
Enter the four entries of a 2×2 matrix [[a,b],[c,d]] to calculate its determinant.
2x2 Matrix Determinant Calculator
Calculate the determinant of a 2×2 matrix from its four entries.
This calculator provides an estimate for general informational purposes only. It is not a substitute for professional financial, mechanical or engineering advice.
For a 2×2 matrix, the determinant is found by multiplying the diagonal entries and subtracting the product of the off-diagonal entries.
Example
- With the default values shown above, this calculator returns: Determinant ≈ 14.00.
Frequently Asked Questions
What is the formula?
For matrix [[a,b],[c,d]], the determinant is (a×d) − (b×c).
What does the determinant tell you?
A determinant of zero means the matrix is 'singular' (not invertible); a nonzero determinant means an inverse exists, and its absolute value equals the area scaling factor the matrix applies to shapes.