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Matrix Calculator

Compute matrix operations, including addition, subtraction, multiplication, and inversion, with detailed step-by-step solutions!

Matrix Calculator
Compute Matrix Operation:

Try the following examples:

[Matrix Addition Example] [Matrix Subtraction Example] [Matrix Multiplication Example] [Matrix Inversion Example]
Operation:
Matrix A:
Matrix B:

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About Matrix Calculator

Welcome to our Matrix Calculator, a powerful tool designed to perform matrix addition, subtraction, multiplication, and inversion with detailed step-by-step solutions. This calculator is ideal for students, teachers, and anyone working with linear algebra and matrix operations.

Features of the Matrix Calculator

Understanding Matrix Operations

Matrices are a fundamental tool in linear algebra, representing linear transformations and systems of linear equations.

Addition and Subtraction

Two matrices of the same dimensions can be added or subtracted by adding or subtracting corresponding elements.

Multiplication

The product of two matrices is computed by taking the dot product of rows and columns. The number of columns in the first matrix must equal the number of rows in the second matrix.

Inversion

The inverse of a square matrix \( A \) is a matrix \( A^{-1} \) such that \( A A^{-1} = I \), where \( I \) is the identity matrix.

For a 2x2 matrix, the determinant is calculated as:

\[ \text{det}(A) = a \times d - b \times c \] \( A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \).

The inverse of matrix \( A \) is then calculated using the formula:

\[ A^{-1} = \frac{1}{\text{det}(A)} \times \begin{bmatrix} d & -b \\ -c & a \end{bmatrix} \]

How to Use the Matrix Calculator

Uses of Matrix Operations

Additional Resources

Reference this content, page, or tool as:

"Matrix Calculator" at https://MiniWebtool.com/matrix-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Nov 20, 2024

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