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The Orthogonal Group
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In this video, we review properties about transposition of real matrices and orthogonal matrices from Linear Algebra. With this in hand, we present the orthogonal group O(n) and the special orthogonal group SO(n), with examples, and discuss briefly their importance as classical matrix groups.
This is lecture 35 (part 2/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:
This lecture is based upon Section 12.1 of Abstract Algebra: Theory and Applications () by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.
This is lecture 35 (part 2/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:
This lecture is based upon Section 12.1 of Abstract Algebra: Theory and Applications () by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.
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