Exact rational linear algebra
Matrix Multiplication Calculator
Multiply Matrix A by Matrix B using exact fraction arithmetic and clear dimension validation.
Matrix A
3 x 3
Matrix B
3 x 3
Basic
Square Matrix
Row Reduction
How it works
- Each output entry is the dot product of one row from A and one column from B.
- Exact fractions are preserved through every multiplication and addition.
- If dimensions do not align, the calculator explains why the product is undefined.
Common mistakes
- Assuming A x B always equals B x A.
- Using matrices with mismatched inner dimensions.
- Confusing scalar multiplication with matrix multiplication.
FAQ
What dimension rule must be true?
The number of columns in A must equal the number of rows in B.
Can the result be copied?
Yes. You can copy it as plain text, LaTeX, or CSV.