A and B are real nonzero 3 3 matrices and satisfy the equation 1. Prove that

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A and B are real nonzero 3 × 3 matrices and satisfy the equation

1. Prove that if B is orthogonal then A is antisymmetric.
2. Without assuming that B is orthogonal, prove that A is singular (i.e., its determinant
vanishes).

Related Book For answer-question

Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Posted Date: Sep 29, 2022 09:12 AM

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A and B are real nonzero 3 3 matrices and satisfy the equation 1. Prove that

Question:

(AB)T + B-¹A = 0 (AB)T + B-¹A = 0

Expert Answer:

Matrix Definitions and Properties of Determinants Orthogonal Matrices A matrix is said to be ort... View the full answer

Linear Algebra with Applications

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