Matrix Calculator
Add, subtract, multiply, transpose or find the determinant of a matrix.
Assumptions used in this calculation
- Size limit: Supports up to 3×3 matrices.
About this calculator
Matrix arithmetic involves tracking many individual entries at once, and multiplication in particular, where each output entry is a sum of several products, is tedious and easy to mess up by hand, especially for a 3×3 matrix where a single misplaced number throws off the whole result. This calculator supports 2×2 and 3×3 matrices with the operations most commonly needed for linear algebra coursework and quick checks: element-wise addition and subtraction, row-by-column multiplication (which requires the first matrix's column count to match the second matrix's row count), the determinant via cofactor expansion, and the transpose (rows and columns swapped). A determinant of exactly 0 flags the matrix as singular, meaning it has no inverse and any linear system it represents doesn't have a unique solution. That handles the bookkeeping that makes matrix operations tedious and error-prone by hand, without needing a graphing calculator or computer algebra system.
Worked example
[[1,2],[3,4]] × [[5,6],[7,8]]
Result: [[19,22],[43,50]]
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