Consider the following. 2 3 V3 3 9. 2 3 3 3 6 (a) Determine whether the set of vectors in R" is orthogonal. O orthogonal O not orthogonal (b) If the set is orthogonal, then determine whether it is also orthonormal. O orthonormal not orthonormal O not orthogonal (c) Determine whether the set is a basis for R". O a basis not a basis

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 34EQ
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Consider the following.
{学(号-9( )
{(.
V2
V3
V3 V3
V6
2
2
3
3
3
3
6
6
(a) Determine whether the set of vectors in R" is orthogonal.
orthogonal
O not orthogonal
(b) If the set is orthogonal, then determine whether it is also orthonormal.
O orthonormal
O not orthonormal
O not orthogonal
(c) Determine whether the set is a basis for R".
a basis
O not a basis
Transcribed Image Text:Consider the following. {学(号-9( ) {(. V2 V3 V3 V3 V6 2 2 3 3 3 3 6 6 (a) Determine whether the set of vectors in R" is orthogonal. orthogonal O not orthogonal (b) If the set is orthogonal, then determine whether it is also orthonormal. O orthonormal O not orthonormal O not orthogonal (c) Determine whether the set is a basis for R". a basis O not a basis
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