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Free Inverse Matrix Calculator Online
Determine the inverse of a 2x2 matrix using the determinant formula.
Inputs
Results
Determinant (det A)
0
Inverse Matrix A⁻¹:
[[0, 0], [0, 0]]
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Frequently Asked Questions (FAQ)
What is an inverse matrix?
An inverse matrix A⁻¹ is a matrix that, when multiplied by the original matrix A, yields the identity matrix I (AA⁻¹ = I).
How do you calculate the determinant of a 2x2 matrix?
The determinant of a 2x2 matrix [[a, b], [c, d]] is calculated as: det A = ad - bc.
What is a singular matrix?
A singular matrix is a matrix with a determinant equal to zero. Singular matrices do not have an inverse.
What is the formula for the inverse of a 2x2 matrix?
A⁻¹ = (1 / det A) * [[d, -b], [-c, a]].
Is my linear algebra data secure?
Yes, all matrix operations run locally inside your browser.