Matrix Calculator
Perform operations on 2x2 and 3x3 matrices.
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Matrix A
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Frequently Asked Questions
What is a determinant?
A scalar value computed from a square matrix. For 2×2: ad-bc. Zero determinant means the matrix is singular (not invertible).
What is a matrix inverse?
Matrix A⁻¹ such that A×A⁻¹ = I (identity matrix). Only exists if det(A) ≠ 0.
What is the transpose?
Flipping a matrix over its diagonal — rows become columns and vice versa.
Where are matrices used?
Computer graphics, machine learning, physics, engineering, economics, and solving systems of linear equations.
Can I multiply matrices here?
This calculator handles determinant, transpose, and inverse for single matrices.