Matrix Calculator
Perform matrix operations including multiplication, addition, subtraction, determinant, inverse, and transpose.
About Matrix Calculator
This tool is designed for students and professionals to perform various matrix operations quickly and accurately. It supports matrices from 1x1 up to 4x4 dimensions.
How to Use?
Operations (A & B)
- Select the dimensions (Rows × Cols) for Matrix A and Matrix B.
- Enter the values into the matrix cells.
- Click A + B, A - B, or A × B to perform the operation.
Single Matrix Properties
- Switch to the Single Matrix (A) tab.
- Set dimensions and values for Matrix A.
- Calculate Determinant, Inverse, or Transpose.
Features
- Flexible Dimensions: Supports any size from 1x1 to 4x4.
- Matrix Arithmetic: Addition, Subtraction, and Matrix Multiplication.
- Advanced Operations: Calculate Determinant, Inverse, and Transpose.
- Validation: Checks for dimension compatibility (e.g., square matrix for inverse).
FAQ
What is a Matrix Determinant?
The determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. For example, a matrix is invertible if and only if its determinant is non-zero.
When can you multiply two matrices?
You can multiply two matrices A and B (A × B) only if the number of columns in A equals the number of rows in B.
What is an Inverse Matrix?
The inverse of a matrix A is a matrix A⁻¹ such that A × A⁻¹ = I, where I is the identity matrix. Only square matrices with a non-zero determinant have an inverse.