How do I enter a matrix?

Use semicolons (;) to separate rows and commas (,) to separate elements within rows. For example, "1,2;3,4" represents a 2×2 matrix with first row [1,2] and second row [3,4].

When can I multiply two matrices?

You can multiply matrix A by matrix B only when the number of columns in A equals the number of rows in B. The result will have the same number of rows as A and columns as B.

What does the determinant tell me?

The determinant indicates if a matrix is invertible (non-zero determinant) and measures how the matrix scales areas or volumes. A determinant of 0 means the matrix squashes space into a lower dimension.

What are matrices used for in real life?

Matrices are used in computer graphics (3D transformations), economics (input-output models), engineering (structural analysis), statistics (data analysis), and machine learning (neural networks).

Matrix Calculator – Matrix Operations

Perform matrix operations including addition, subtraction, multiplication, determinant, and transpose. Essential for linear algebra and advanced mathematics.

Matrix Calculator – Matrix Operations

Perform matrix operations including addition, subtraction, multiplication, determinant, and transpose. Essential for linear algebra and advanced mathematics.

Operation*

Matrix operation to perform

Matrix A*

Enter matrix A (rows separated by ;, elements by ,)

Matrix B

Enter matrix B (for two-matrix operations)

📐

Math visualization will appear here

Understanding Matrix Operations

Matrices are rectangular arrays of numbers used in linear algebra, computer graphics, statistics, and many areas of mathematics and science. Matrix operations follow specific rules and have important applications.

Common Matrix Operations

Key matrix operations:

Addition/Subtraction: Matrices must have same dimensions
Multiplication: Number of columns in first = rows in second
Determinant: Only for square matrices, measures "volume scaling"
Transpose: Flip matrix over its diagonal
Inverse: Matrix that undoes the original (when it exists)

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your operation
Enter your matrix a
Enter your matrix b
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Matrix Calculator – Matrix Operations?

100% free and no registration required
Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
Privacy-focused - your data never leaves your browser
Educational content to help you understand the results

Frequently Asked Questions

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