See how each entry in the result is built and when two matrices can be multiplied.
Calculate matrices, view clear step-by-step solutions, or work through matrix multiplication with the Tutor.
Quick Calculator
A (3×3)
Rows:
3
Cols:
3
B (3×3)
Rows:
3
Cols:
3
Fractions, decimals, negative values, and constants are supported. Blank cells count as 0.
Two-Matrix Operations
Matrix Operations
Decompositions
Matrix Functions
Learn Matrix Multiplication
Move from the row × column rule to worked examples, guided practice, and printable problem sets. Start anywhere.
Choose a 2×2 example for the core pattern or a 3×3 example for all nine entries.
Build the result one cell at a time with row and column highlights.
Choose multiplication, generate a problem set, and print the answer key.
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FAQ
What is a matrix calculator?
A matrix calculator helps you enter matrices and run operations such as multiplication, addition, subtraction, determinant, inverse, and RREF.
Can I enter fractions?
Yes. Enter a fraction such as 1/2 directly in a matrix cell. Fractions are kept exact throughout the calculation.
Can I enter decimal and negative values?
Yes. Matrix entries can include integers, negative values, decimals, fractions, and supported constants such as pi and e.
How do I know whether two matrices can be multiplied?
A × B is defined when the number of columns in A equals the number of rows in B.
Can I see how each result was calculated?
Yes. The multiplication calculator shows how each result entry is built from a row of A and a column of B. Worked 2×2 and 3×3 examples are also available.
What matrix operations are available?
Available tools include multiplication, addition, subtraction, determinant, inverse, transpose, RREF, rank, matrix power, systems of equations, decompositions, and matrix functions.