We introduce orthogonal matrices, the definition of an orthogonal matrix, some basic properties of orthogonal matrices and related theorems. We'll see examples of orthogonal matrices like the standard matrix for rotation and the standard matrix for reflection, and we'll prove an important theorem establishing the equivalence of orthogonality and having an orthonormal set of row vectors and an orthonormal set of column vectors. #linearalgebra
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0:00 Intro
0:16 Definition of Orthogonal Matrices
0:59 Examples of Orthogonal Matrices
3:09 An Important Equivalence
12:03 Basic Properties of Orthogonal Matrices
13:35 The Geometry of Orthogonal Transformations
15:45 Outro
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