Matriz Ortogonal 2×2?
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
ortogonal
About this calculator
The 2×2 Orthogonal Matrix Calculator is a useful tool to verify if a 2×2 matrix is orthogonal. A matrix is considered orthogonal if its dot product with its transpose equals the identity matrix. This is represented by the formula A·A^T = I.
This calculator is designed to help solve math problems, specifically in Additional Algebra. It calculates the product of the matrix with its transpose and verifies if the result equals the identity matrix, indicating the matrix is orthogonal.
The 2×2 Orthogonal Matrix is useful for math students and teachers, as it helps understand the relationship between orthogonal matrices and the identity. Additionally, it's essential to keep in mind that the matrix must be in the 2×2 format for this calculator to be applicable.
Frequently asked questions
What is an orthogonal matrix?
A matrix is considered orthogonal if its dot product with its transpose equals the identity matrix.
When to use this calculator?
This calculator is useful when you need to verify if a 2×2 matrix is orthogonal. It's especially useful for math students and teachers.
What does A·A^T = I mean?
This formula represents the dot product of the matrix with its transpose, which must equal the identity matrix for the matrix to be considered orthogonal.
What is the format of the matrix that this calculator can process?
This calculator can process matrices in the 2×2 format.