Calculate the determinant, trace, and inverse of a 2×2 matrix [[a, b], [c, d]].
| Determinant | – |
| Trace | – |
| Inverse a | – |
| Inverse b | – |
| Inverse c | – |
| Inverse d | – |
Use this calculator for a 2×2 matrix with entries a b on the first row and c d on the second. The determinant is ad − bc. The trace is a + d. If the determinant is 0 the matrix is singular and the inverse is not defined (the inverse cells show n/a).
When det ≠ 0 the inverse is (1/det) × [[d, −b], [−c, a]], returned as the four entries ia, ib, ic, id in the same layout as a, b, c, d.
a, b: First row.
c, d: Second row.
Determinant: ad − bc.
Trace: a + d.
ia, ib, ic, id: Entries of the inverse, or n/a if singular.
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