Matrix Calculator
Add, subtract, or multiply two matrices of any compatible size.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Enter two matrices and an operation to compute the result.
Rows separated by semicolons, entries by commas — e.g. "1,2;3,4" for a 2x2 matrix.
Your result
19, 22; 43, 50
Result matrix
Result rows2
Result columns2
AI explanation
Formula
Addition/subtraction: entry-by-entry. Multiplication: standard matrix product (row × column dot products)Worked example
[[1,2],[3,4]] x [[5,6],[7,8]]
| Field | Value |
|---|---|
| Matrix A | 1,2;3,4 |
| Matrix B | 5,6;7,8 |
| Operation | multiply |
| Result matrix | 19, 22; 43, 50 |
| Result rows | 2 |
| Result columns | 2 |
Assumptions
- Addition and subtraction require both matrices to have the same dimensions.
- Multiplication requires the first matrix's column count to equal the second matrix's row count.
Frequently asked questions
How do I enter a matrix?
Separate rows with semicolons and entries within a row with commas — for example, "1,2,3;4,5,6" is a 2x3 matrix.
Why did my multiplication fail?
Matrix multiplication requires the first matrix's number of columns to equal the second matrix's number of rows — check your matrix dimensions.
Is matrix multiplication the same as multiplying entry-by-entry?
No — matrix multiplication combines rows of the first matrix with columns of the second via dot products, which is different from simply multiplying corresponding entries.