Let p(x) = a0 + azx + azx and q(x) = bo + bịx + br? be vectors in P2 with (p, a) = agbo + azb; + azb2. Determine whether the polynomials form an orthonormal set, and if not, apply the Gram-Schmidt orthonormalization process to form an orthonormal set. (If the calcF set is orthonormal, enter ORTHONORMAL in both answer blanks.) (-1 + x², -1 + x) Operat Funcic Symbo Relatio Sets Vector eBook

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
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Let p(x) = a, + a;x + azx? and q(x) = bo + bịx + bzx2 be vectors in P2 with (p, q) = agbo + a,b, + azb2. Determine whether the polynomials form an orthonormal set, and if not, apply the Gram-Schmidt orthonormalization process to form an orthonormal set. (If the
set is orthonormal, enter ORTHONORMAL in both answer blanks.)
{-1 + x2, -1 + x}
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Operation
1
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Functions
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Symbols
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Transcribed Image Text:Let p(x) = a, + a;x + azx? and q(x) = bo + bịx + bzx2 be vectors in P2 with (p, q) = agbo + a,b, + azb2. Determine whether the polynomials form an orthonormal set, and if not, apply the Gram-Schmidt orthonormalization process to form an orthonormal set. (If the set is orthonormal, enter ORTHONORMAL in both answer blanks.) {-1 + x2, -1 + x} calcPac Operation 1 u, = Functions V2 V2 Symbols Relations uz = Sets eBook Vectors Trig Viewing Saved Work Revert to Last Response Submit Answer Greek
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