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Every vector in a space is orthogonal to the zero vector of that space. Every orthonormal basis is the standard basis.

Every vector in a space is orthogonal to the zero vector of that space. Every orthonormal basis is the standard basis.

Linear Algebra: A Modern Introduction
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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Which of the following is/are true? DAn orthogonal basis is always an orthonormal basis. ]Every vector in a space is orthogonal to the zero vector of that space. Every orthonormal basis is the standard basis. ]Every vector of an orthonormal basis is a unit vector. Submit You have used 0 of 1 attempt Save
Transcribed Image Text:Which of the following is/are true? DAn orthogonal basis is always an orthonormal basis. ]Every vector in a space is orthogonal to the zero vector of that space. Every orthonormal basis is the standard basis. ]Every vector of an orthonormal basis is a unit vector. Submit You have used 0 of 1 attempt Save
The Gram-Schmidt Orthonormalization Process orthogonalizes vectors by subtracting Projection(s) of a vector from itself. The x-component of the vector from itself. The y-component of the vector from itself. Square roots of the components of the vector from itself. Submit You have used 0 of 1 attempt Save
Transcribed Image Text:The Gram-Schmidt Orthonormalization Process orthogonalizes vectors by subtracting Projection(s) of a vector from itself. The x-component of the vector from itself. The y-component of the vector from itself. Square roots of the components of the vector from itself. Submit You have used 0 of 1 attempt Save
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