Check whether a square matrix satisfies A × A = A.
How It Works
How Idempotent Matrix Checker Works
The calculator multiplies your matrix by itself and compares the result entry-by-entry against the original — if they match exactly, applying the matrix twice has the same effect as applying it once.
FAQ
Frequently Asked Questions
What does it mean intuitively for a matrix to be idempotent?
Idempotent matrices typically represent projections — applying the transformation once moves a vector onto some subspace, and applying it again leaves it exactly where it already landed, since it's already on that subspace.
Is the identity matrix idempotent?
Yes — multiplying the identity matrix by itself always gives the identity matrix back, so it trivially satisfies A × A = A.
