Consider the following. {(2, -4, 2), (0, 2, 4), (-10,-4, 2)} (a) Determine whether the set of vectors in R is orthogonal. O orthogonal 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 RM. 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.
{(2, -4, 2), (0, 2, 4), (-10,-4, 2)}
(a) Determine whether the set of vectors in R is orthogonal.
O orthogonal
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
Transcribed Image Text:Consider the following. {(2, -4, 2), (0, 2, 4), (-10,-4, 2)} (a) Determine whether the set of vectors in R is orthogonal. O orthogonal 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
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