Question 28 Which of the following statements is (are) true if all vectors are in R"? d) If W is a subspace of R" spanned by n nonzero orthogonal vectors, then W = R" O Statements a, b and d O a) Not every linearly independent set in R" is an orthogonal set Statements a and b O c) A matrix with orthogonal with orthogonal columns is an orthogonal matrix Statements b, c and d Statements a, b and c O b)An orthogonal matrix is invertible O Statements a and c

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 28
Which of the following statements is (are) true if all vectors are in R"?
d) If W is a subspace of R" spanned by n nonzero orthogonal vectors, then W = R"
O Statements a, b and d
O a) Not every linearly independent set in R" is an orthogonal set
Statements a and b
O c) A matrix with orthogonal with orthogonal columns is an orthogonal matrix
Statements b, c and d
Statements a, b and c
O b)An orthogonal matrix is invertible
O Statements a and c
Transcribed Image Text:Question 28 Which of the following statements is (are) true if all vectors are in R"? d) If W is a subspace of R" spanned by n nonzero orthogonal vectors, then W = R" O Statements a, b and d O a) Not every linearly independent set in R" is an orthogonal set Statements a and b O c) A matrix with orthogonal with orthogonal columns is an orthogonal matrix Statements b, c and d Statements a, b and c O b)An orthogonal matrix is invertible O Statements a and c
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