Matrix Operations
A matrix is a rectangular array of numbers arranged in rows and columns. This calculator supports basic linear algebra operations.
Matrix Addition & Subtraction
Two matrices can be added or subtracted only if they have the same dimensions. The operation is performed element-wise.
Matrix Multiplication
To multiply matrix A (m × n) by matrix B (n × p), the number of columns in A must equal the number of rows in B. The resulting matrix will have dimensions (m × p).
Determinant & Inverse
The determinant is a scalar value that can be computed from the elements of a square matrix. It provides important properties of the matrix, such as invertibility.
The inverse of a matrix A is denoted as A-1, where A × A-1 = I (Identity Matrix). Only square matrices with a non-zero determinant have an inverse.