Matrix Calculator

Perform matrix operations: addition, subtraction, multiplication, transpose, determinant, and inverse with step-by-step solutions.

Calculator

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Enter values separated by commas, rows by newlines

Select an operation and enter matrix values to perform matrix calculations with step-by-step solutions.

Complete User Guide

What is a Matrix?

A matrix is a rectangular array of numbers arranged in rows and columns. Matrices are used in mathematics, physics, computer science, and many other fields.

Example: A 2×2 matrix has 2 rows and 2 columns: [[a, b], [c, d]]

Matrix Operations

  • 新增: Add corresponding elements (matrices must have same dimensions)
  • Subtraction: Subtract corresponding elements (matrices must have same dimensions)
  • Multiplication: Multiply matrices (columns of first must equal rows of second)
  • Transpose: Swap rows and columns
  • Determinant: Calculate determinant (matrix must be square)
  • Inverse: Calculate inverse matrix (matrix must be square and non-singular)

How to Enter Matrices

Enter matrix values separated by commas, with each row on a new line:

1, 2
3, 4

Or use semicolons to separate rows:

1, 2; 3, 4

Examples

Example 1: Matrix Addition

Matrix A: [[1, 2], [3, 4]]

Matrix B: [[5, 6], [7, 8]]

Result: [[6, 8], [10, 12]]

Example 2: Matrix Multiplication

Matrix A: [[1, 2], [3, 4]] (2×2)

Matrix B: [[5, 6], [7, 8]] (2×2)

Result: [[19, 22], [43, 50]] (2×2)

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