Matrix Calculator – 2x2 Add, Subtract, Multiply
Perform addition, subtraction, or multiplication on 2x2 matrices. Enter the entries of matrices A and B and choose the operation. Useful for algebra, linear algebra, and systems of equations.
Matrix Calculator
Add, subtract, or multiply 2×2 matrices. Enter values for matrices A and B.
Matrix operations
Addition: C_ij = A_ij + B_ij. Subtraction: C_ij = A_ij − B_ij. Multiplication: C_ij = Σ_k A_ik × B_kj.
Understanding matrices and matrix operations
A matrix is a rectangular array of numbers arranged in rows and columns. A 2x2 matrix has two rows and two columns. Matrices are used in linear algebra, computer graphics, physics, and many other fields.
Matrix addition and subtraction are performed element-wise: you add or subtract corresponding entries. For multiplication, each entry of the result is a sum of products: the (i,j) entry of A×B is the dot product of row i of A and column j of B. Matrix multiplication is associative but not commutative.