Calculate the multiplicative inverse of a square matrix.
Square Matrix
Inverse Matrix (A⁻¹)
Determinant: 0.000
This matrix is singular (Determinant is 0) and has no inverse.
About this calculator
What is an Inverse Matrix?
The inverse of a square matrix A is a matrix A⁻¹ such that the product of A and A⁻¹ is the Identity matrix I. Not all matrices have inverses; those that do are called 'invertible' or 'non-singular'.
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Pro Tips
Only square matrices can have an inverse.
If the determinant is zero, the matrix is not invertible.
For a 2x2 matrix [[a,b],[c,d]], the inverse is 1/(ad-bc) * [[d,-b],[-c,a]].
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Fun Facts
"Matrix inversion is computationally expensive for large matrices."
"Used in cryptography to decode messages encoded with matrices."
