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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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