Matrices Calculator
Matrix Operations Calculator works out Result and Result matrix from Operation, Matrix A and Matrix B. The default figures on this page give result of 6 8; 10 12; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
4 steps
- A is 2x2, B is 2x2.
- Addition is entry-by-entry: C(i,j) = A(i,j) + B(i,j).
- [ 6 8 ]
- [ 10 12 ]
Result matrixtable
| 0 | 1 |
|---|---|
| 6 | 8 |
| 10 | 12 |
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
What the Matrix Operations Calculator calculates
Adds, subtracts, multiplies, scales, transposes and raises matrices to integer powers, including the element-wise and Kronecker products.
How to use this Matrix Operations Calculator
Enter Operation, Matrix A, Matrix B and Scalar k. Result updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Result, Result matrix and Rows in result.
The method follows Gilbert Strang, Introduction to Linear Algebra, ch. 2 (matrix operations), Wikipedia, Matrix (mathematics) - basic operations and Wikipedia, Kronecker product.
Add two 2x2 matrices example
With Operation: add, Matrix A: 1 2; 3 4, Matrix B: 5 6; 7 8, the calculator returns Result: 6 8; 10 12, Trace of result: 18, Sum of all entries: 36. This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Result, Result matrix and Rows in result. The inputs you can vary are Operation, Matrix A, Matrix B, Scalar k, Exponent n and Decimals shown.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
What is a good calculator for solving matrices?
Adds, subtracts, multiplies, scales, transposes and raises matrices to integer powers, including the element-wise and Kronecker products. On this page it is computed from Operation, Matrix A and Matrix B and shown as Result, Result matrix and Rows in result.
Can a TI-84 calculator solve matrices?
Adds, subtracts, multiplies, scales, transposes and raises matrices to integer powers, including the element-wise and Kronecker products. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give 6 8; 10 12.
Which calculator supports matrix?
It needs Operation, Matrix A, Matrix B, Scalar k, Exponent n and Decimals shown. Nothing else is required, and the figures stay in your browser.
How to calculate matrices using a calculator?
Adds, subtracts, multiplies, scales, transposes and raises matrices to integer powers, including the element-wise and Kronecker products. Open “How this is worked out” beside the result to see each step for your own figures.
What information do I need for the Matrix Operations Calculator?
You need Operation, Matrix A, Matrix B, Scalar k, Exponent n and Decimals shown. The page opens with default figures that give result of 6 8; 10 12, so you can see the scale before entering your own.
What does this Matrix Operations Calculator show?
It shows Result, Result matrix, Rows in result, Columns in result, Trace of result, Sum of all entries, Operation performed and Result size, with the working and any warnings for your entries.