All vectors are in R". Check the true statements below: A. If I is a line through 0 and if ŷ is the orthogonal projection of y onto L, then ||ŷ|| gives the distance from y to L. B. 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. C. A matrix with orthonormal columns is an orthogonal matrix. OD. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. OE. Not every linearly independent set in R" is an orthogonal set.

All vectors are in R". Check the true statements below: A. If I is a line through 0 and if ŷ is the orthogonal projection of y onto L, then ||ŷ|| gives the distance from y to L. B. 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. C. A matrix with orthonormal columns is an orthogonal matrix. OD. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. OE. Not every linearly independent set in R" is an orthogonal set.

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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