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Which of the following statements is (are) false if all vectors are in R"? OaNot every orthogonal set in R" is linearly independent. O Statements a band c O The orthogonal projection of y onto v is the same as the orthogonal projection of y or O Statements b and c O None of the statements is false Obily is a linear combination of non zero vectors from an orthogonal set, then the weights row operations on a matrix O di Uis ann x n orthogonal matrix, then the rows of U form an orthogonal basis of R O All the statements are false O Statements a band d

Which of the following statements is (are) false if all vectors are in R"? OaNot every orthogonal set in R" is linearly independent. O Statements a band c O The orthogonal projection of y onto v is the same as the orthogonal projection of y or O Statements b and c O None of the statements is false Obily is a linear combination of non zero vectors from an orthogonal set, then the weights row operations on a matrix O di Uis ann x n orthogonal matrix, then the rows of U form an orthogonal basis of R O All the statements are false O Statements a band d

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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Which of the following statements is (are) false if all vectors are in R"? O aNot every orthogonal set in R" is linearly independent. O Statements a b and c O dThe orthogonal projection of y onto v is the same as the orthogonal projection of y onto cv, where c is a non zero constant Statements b and c O None of the statements is false Obily is a linear combination of non zero vectors from an orthogonal set, then the weights in the linear combination can be computed with row operations on a matrix O di Uis ann x n orthogonal matrix, then the rows of U form an orthogonal basis of R O All the statements are false O Statements a, b and d Question
Transcribed Image Text:Which of the following statements is (are) false if all vectors are in R"? O aNot every orthogonal set in R" is linearly independent. O Statements a b and c O dThe orthogonal projection of y onto v is the same as the orthogonal projection of y onto cv, where c is a non zero constant Statements b and c O None of the statements is false Obily is a linear combination of non zero vectors from an orthogonal set, then the weights in the linear combination can be computed with row operations on a matrix O di Uis ann x n orthogonal matrix, then the rows of U form an orthogonal basis of R O All the statements are false O Statements a, b and d Question
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