Matrix Calculator
2×2 & 3×3 matrix arithmetic, determinants & inverse
Matrix A
Matrix B
Result
Matrix A + B
[ 5, 7 ]
[ 9, 11 ]
Result Matrix
[ 9, 11 ]
Frequently Asked Questions
For a 2x2 matrix with rows [a, b] and [c, d], the determinant is:
det(A) = (a × d) - (b × c).
A square matrix has an inverse if and only if its determinant is non-zero (
det(A) ≠ 0). If det(A) = 0, the matrix is singular and cannot be inverted.
Multiply each row of Matrix A by each column of Matrix B by calculating the dot product of the corresponding elements.