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Matrix Calculator
Matrix operations and determinant
Matrix A
Matrix B
How It Works
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are used in physics, computer graphics, probability theory, and many other fields.
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. The dimensions of a matrix A are typically denoted as m × n. Matrix addition and subtraction can only be performed on matrices of the same size by adding or subtracting corresponding elements. Matrix multiplication is more involved: the number of columns in the first matrix must match the number of rows in the second matrix. Matrix multiplication is not commutative (A × B does not necessarily equal B × A).
The transpose flips a matrix over its diagonal, switching row and column indices. The determinant is a value computed from square matrix elements, used in linear algebra for computing inverses and solving linear systems. The inverse of a matrix A is denoted A⁻¹, where A × A⁻¹ = A⁻¹ × A = I (the identity matrix).
Results
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Quick Tips
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