Orthogonal Matrix - Linear Algebra

Thread starter carrotcake10
Start date May 5, 2010
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Algebra Linear Linear algebra Matrix Orthogonal

AI Thread Summary

An orthogonal matrix is defined as a square matrix whose rows and columns are orthogonal unit vectors, meaning that the matrix multiplied by its transpose equals the identity matrix. This property implies that the inverse of an orthogonal matrix is equal to its transpose. Orthogonal matrices preserve vector norms and angles, making them significant in various applications, including computer graphics and numerical methods. Understanding orthogonality involves recognizing the geometric interpretation of vectors and their relationships in space. Clarifying these concepts can aid in solving related problems in linear algebra.

May 5, 2010

carrotcake10

Homework Statement

[PLAIN]http://img504.imageshack.us/img504/4985/capturewm.jpg

Homework Equations

N/A

The Attempt at a Solution

This is more of a conceptual question so I need a little help knowing what kinds of things to look for.

Last edited by a moderator: May 4, 2017

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May 5, 2010

zachzach

Well what does it mean for a matrix to be orthogonal?

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