Matrix Multiplication Calculator
Perform matrix multiplication with step-by-step solutions and visualizations
Matrix A
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Matrix B
2
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Matrix Multiplication Result
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Enter matrices and click "Calculate" to see the result
Step-by-Step Solution
Detailed calculation steps will appear here when you click "Show Steps"
📊 Matrix Properties
Dimensions
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Determinant
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Trace
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Rank
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📈 Matrix Visualization
📚 Matrix Multiplication Basics
Definition
Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix and summing the products.
Requirements
The number of columns in the first matrix must equal the number of rows in the second matrix.
Non-Commutative
Matrix multiplication is not commutative: A×B ≠ B×A in most cases.
Dot Product
Each element in the product matrix is the dot product of a row from A and a column from B.
Dark Mode
Note: This calculator performs exact matrix multiplication with precision up to 10 decimal places. For very large matrices, performance may vary based on your device capabilities.