Matrix Division Calculator (A ÷ B = A × B⁻¹)
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What is the Matrix Division Calculator?
The Matrix Division Calculator allows users to perform matrix division using the formula A÷B=A×B−1A ÷ B = A × B^{-1}A÷B=A×B−1, where B−1B^{-1}B−1 is the inverse of matrix B. By entering two square matrices of the same size, the calculator computes the inverse of matrix B and multiplies it with matrix A to obtain the result. It supports 2x2 and 3x3 matrices and handles cases where the matrix is non-invertible. This tool is useful for students, engineers, and mathematicians who need to solve linear algebra problems, verify calculations, or explore matrix operations quickly.
How to Use:
- Enter Matrix A: Input all elements of matrix A row-wise, separated by commas. For example,
[1,2;3,4]should be entered as1,2,3,4. - Enter Matrix B: Input all elements of a square matrix B row-wise, separated by commas. This matrix must be invertible for division to work.
- Click “Calculate”: The calculator computes A÷BA ÷ BA÷B by multiplying A with the inverse of B and displays the result.
- Review the Result: The output shows the resulting matrix, formatted row-wise, which can be used for further calculations or verification.