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
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section: Chapter Questions
Problem 1RQ: Mark each of the following statements true or false: Forvectorsu,v,andwinn,ifu+w=v+wthenu=v....
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ecf1484-f95f-4119-9858-43c8382b92c0%2Fb57d42ad-7421-42b8-8978-c43f01d33f7d%2F0iqo86n_processed.jpeg&w=3840&q=75)
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
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