Linear Algebra
Matrix Transpose - Linear Algebra
Learn the matrix transpose with examples, step-by-step guide, and calculator tools. Flip matrix over diagonal
The matrix transpose is a fundamental concept in linear algebra. Flip matrix over diagonal. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[[A^T]_{ij} = A_{ji}\]
Variables
Aᵀ
Transpose of A
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → [1 2 3; 4 5 6]ᵀ = [1 4; 2 5; 3 6]
Example 2
Example 2: [1 4; 2 5; 3 6]
Frequently Asked Questions
What is the matrix transpose?
Flip matrix over diagonal
How do I calculate matrix transpose?
Use the formula: [A^T]_{ij} = A_{ji}. Follow the steps provided above.
What tools can help with matrix transpose?
We provide online calculators: calculator