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All vectors are in IR". Check the true statements below. OA. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. O B. Not every linearly independent set in R" is an orthogonal set. OC.If L is a line through 0 and if ý is the orthogonal projection of y onto L, then |lg|| gives the distance from y to L. OD. If y is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix. OE. A matrix with orthonormal columns is an orthogonal matrix.

All vectors are in IR". Check the true statements below. OA. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. O B. Not every linearly independent set in R" is an orthogonal set. OC.If L is a line through 0 and if ý is the orthogonal projection of y onto L, then |lg|| gives the distance from y to L. OD. If y is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix. OE. A matrix with orthonormal columns is an orthogonal matrix.

Advanced Engineering Mathematics
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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All vectors are in IR". Check the true statements below: A. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. B. Not every linearly independent set in R" is an orthogonal set. OC.IF L is a line through 0 and if ý is the orthogonal projection of y onto L, then ||g|| gives the distance from y to L. OD. If y is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix. E. A matrix with orthonormal columns is an orthogonal matrix.
Transcribed Image Text:All vectors are in IR". Check the true statements below: A. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. B. Not every linearly independent set in R" is an orthogonal set. OC.IF L is a line through 0 and if ý is the orthogonal projection of y onto L, then ||g|| gives the distance from y to L. OD. If y is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix. E. A matrix with orthonormal columns is an orthogonal matrix.
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