2×2 Matrix Determinant
Calculate the determinant of a 2×2 matrix.
Formula
det = ad − bc
- For a 2×2 matrix [[a,b],[c,d]], det = ad − bc.
[[3,8],[4,6]]
Inputs
- a (row 1, col 1): 3
- b (row 1, col 2): 8
- c (row 2, col 1): 4
- d (row 2, col 2): 6
det = 18 − 32 = −14
Frequently asked questions
What is a matrix determinant?
For 2×2 matrices, det([[a,b],[c,d]]) = ad − bc. It tells you if the matrix is invertible (det ≠ 0).