Online Matrix Calculator

A professional online matrix calculator that supports matrix addition, subtraction, multiplication, determinant calculation, inverse matrices, transposition, and other operations, with detailed step-by-step explanations and batch processing support.

Bug report

Browser execution mode: Your data is processed in your browser and is not uploaded to the server.

Speed and Stability: Processing speed depends on your device and browser. For large batch work, the desktop version may be more stable.

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If the online tool fails to load or run, try the desktop tool.https://tools.yikeaigc.com/

Tool Usage

Return to old version

Set matrices, choose an operation, then generate results

Supports fractions, decimals, Excel paste, common matrix templates, detailed steps, LaTeX, and batch file processing. Calculations run on this page.

A+B / A×B det / rank / trace Inverse / Matrix Power LU / QR / AX=B

Current Settings Waiting for input

Matrix A3×3

Matrix B3×1

Operationdet(A)

Matrix Input

Set rows and columns first, then enter the matrix. Supports formats like 1/2 and -3.5, or paste multiple rows and columns directly from Excel.

Dimensions & ParametersSingle-matrix operations mainly use Matrix A

A Rows

A Columns

B Rows

B Columns

Scalar k

Matrix Power n

Display Precision

Sample DataQuickly fill matrices A and B

Matrix cellsClick any cell to paste multi-line data

Matrix A 3×3

Matrix B 3×1

Operation type

Choose a matrix operation. Dimension requirements are checked during calculation, with relevant tips shown.

Basic operationsUses A, B, or scalar k

Matrix propertiesCommon in linear algebra analysis

Matrix transforms and decompositionsExport results in multiple formats

Result optionsControl steps, history, and export display

Show steps Save history Show approximate fractions

Results and export

After calculation, switch between matrix view, heatmap, LaTeX, steps, and export content. History can restore previous calculations.

Export resultsGenerate results first, then choose a download format

Calculation historyKeep latest 20

Batch file processing

Upload TXT, CSV, or JSON matrix files, then choose one operation to run in batch. The list shows only the first 20 files; processing covers all files.

Choose fileTXT/CSV use row/column separators; JSON uses 2D arrays

Click to choose or drag a matrix file Batch selection supported. Results use original filenames; duplicates get numbers.

Batch operationsFor single-matrix calculations

Operation type

Batch precision

Waiting for files

Batch resultsSuccessful results can be downloaded as a ZIP

Set matrix dimensions and data first, then choose an operation.

Result preview

Waiting for result After setup, click "Generate result".

Tip: determinant, inverse, eigenvalues, trace, and LU decomposition require a square matrix.

Instructions

Software Usage Instructions

Set matrix dimensions: First set the number of rows and columns for matrix A and matrix B. Matrices from 1×1 to 10×10 are supported. Single-matrix operations mainly use matrix A, while matrix addition, subtraction, multiplication, and AX=B use both matrix A and matrix B.
Enter matrix data:
- You can directly enter integers, decimals, negative numbers, and fractions in the cells, such as 1/2, -3.5, and 4/7.
- You can copy multi-row and multi-column data from Excel or text and paste it into the cells. The system will adjust the dimensions based on the content.
- You can quickly fill in examples such as basic matrices, systems of linear equations, symmetric matrices, singular matrices, fraction matrices, and non-square matrices.
Select an operation type:
- Basic operations:A+B, A-B, A×B, k×A, A+kI, AX=B solution.
- Matrix properties: determinant det(A), rank rank(A), trace tr(A), eigenvalues.
- Matrix transformations and decompositions: transpose, inverse matrix, matrix power, LU decomposition, QR decomposition.
Generate and view results: After clicking “Generate Results”, you can view the matrix view, heatmap, LaTeX code, and calculation steps. Different operations will automatically check dimension requirements.
Export results: Results can be downloaded in TXT, CSV, JSON, Markdown, and LaTeX formats. You can also copy the LaTeX code for use in formula documents.
Batch processing: Upload TXT, CSV, or JSON matrix files, then select determinant, transpose, inverse matrix, rank, trace, eigenvalues, or QR decomposition for batch processing. The interface displays the first 20 files; processing will cover all files, and the results can be downloaded as a summary TXT or ZIP archive.

FAQ

A: Matrix addition and subtraction require A and B to have the same dimensions; matrix multiplication requires the number of columns in A to equal the number of rows in B; determinant, inverse matrix, trace, eigenvalues, matrix power, and LU decomposition require a square matrix; transpose, rank, and QR decomposition can be used for non-square matrices.

A: Yes. Use formats such as 1/2 and -3/4 for fractions; decimals and negative numbers can be entered directly. The scalar k also supports fractions and decimals.

A: An inverse matrix exists only for square matrices with a nonzero determinant. Non-square matrices or singular matrices with a determinant of 0 cannot be inverted, and the tool will display a prompt.

A: Enter the coefficient matrix in Matrix A and the constant column or constant matrix in Matrix B, then select “Solve AX=B”. The system will determine whether there is a unique solution, infinitely many solutions, or no solution.

A: For TXT and CSV, you can enter the matrix by row, with each line representing one row of the matrix and numbers separated by spaces, tabs, or commas. For JSON, a two-dimensional array format is recommended, such as [[1,2],[3,4]].

A: Batch results will keep the original file names as much as possible. If duplicate names occur, a number will be appended to the original file name to distinguish them, and they can be packaged together as a ZIP for download.