Matrix Calculator
Matrix Calculator - a browser-based student tools utility.
Browser tool
About Matrix Calculator
Addition, multiplication, transposition, determinants and inverses, laid out so the result can be checked against your own working rather than merely trusted — which matters when the reason you are here is that the answer has to be shown as well as found. Free with no account needed. Every operation is evaluated by the browser instead of by a server somewhere.
How to use it
- Set the dimensions and enter the valuesRows and columns first, then the entries. The tool rejects operations the dimensions do not permit.
- Choose the operationThe available ones depend on the shapes involved, which is itself informative.
- Read the resultLaid out as a matrix rather than a flat list, so it can be compared position by position.
Why multiplication is fussy about shapes
To multiply A by B, the number of columns in A must equal the number of rows in B, because each entry of the result is a dot product of one row with one column. That also makes multiplication non-commutative: AB and BA are different products, and frequently only one of them is even defined. It is the rule most often tripped over and the one that explains most "why will it not compute" moments.
What it does not do
- A singular matrix — determinant zero — has no inverse, and that is reported rather than approximated.
- Floating-point arithmetic means a determinant that should be exactly zero may come out as a very small number instead. Treat near-zero as singular.
- Large matrices are slow in a browser; this is sized for coursework rather than numerical computing.
Questions people ask
- Why can I not multiply these two matrices?
- Because the inner dimensions do not match: the columns of the first must equal the rows of the second. A 2x3 can multiply a 3x4; it cannot multiply a 2x3.
- What does a determinant of zero mean?
- The matrix is singular: it has no inverse, its rows are linearly dependent, and as a transformation it collapses space onto a lower dimension. Any system relying on inverting it has no unique solution.
Questions about ToolsVerse itself — privacy, cost, what happens to your files — are answered in the frequently asked questions.
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