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Mark only correct statements. a. Every orthogonal matrix is invertible. b. If columns of a square matrix are muturaly orthogonal, then this matrix is orthogonal. c. An mx n matrix A is orthogonal if ATA = I. d. If a matrix is orthogonal, then its square is orthogonal too with determinant equal 1. e. If a square matrix transforms any vector of unit length to a vector of unit length, then this matrix is orthogonal. Of. All eigen-values of any orthogonal matrix must have modulus one. Og. The matrix 1 (²7²) 2 is orthogonal.

Mark only correct statements. a. Every orthogonal matrix is invertible. b. If columns of a square matrix are muturaly orthogonal, then this matrix is orthogonal. c. An mx n matrix A is orthogonal if ATA = I. d. If a matrix is orthogonal, then its square is orthogonal too with determinant equal 1. e. If a square matrix transforms any vector of unit length to a vector of unit length, then this matrix is orthogonal. Of. All eigen-values of any orthogonal matrix must have modulus one. Og. The matrix 1 (²7²) 2 is orthogonal.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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give me only correct statements please. Answer this question as fast as possible please! Thank you!

Mark only correct statements. a. Every orthogonal matrix is invertible. b. If columns of a square matrix are muturaly orthogonal, then this matrix is orthogonal. c. An m x n matrix A is orthogonal if A¹A = I. Od. If a matrix is orthogonal, then its square is orthogonal too with determinant equal 1. e. If a square matrix transforms any vector of unit length to a vector of unit length, then this matrix is orthogonal. Of. All eigen-values of any orthogonal matrix must have modulus one. Og. The matrix 1-2 1 is orthogonal.
Transcribed Image Text:Mark only correct statements. a. Every orthogonal matrix is invertible. b. If columns of a square matrix are muturaly orthogonal, then this matrix is orthogonal. c. An m x n matrix A is orthogonal if A¹A = I. Od. If a matrix is orthogonal, then its square is orthogonal too with determinant equal 1. e. If a square matrix transforms any vector of unit length to a vector of unit length, then this matrix is orthogonal. Of. All eigen-values of any orthogonal matrix must have modulus one. Og. The matrix 1-2 1 is orthogonal.
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