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bị and B := E R³, consider the inner product on R³ defined For a := a2 b2 b3 a3 by (a, B) := (2a1 + a2 + a3) bị + (a1 + 2az + a3) b2 + (a1 + a2 + 2a3) bz. a) Find the matrix of the inner product with respect to the standard basis of R³. into an orthonormal basis by using b) Transform the basis S := the Gram-Schmidt method.

bị and B := E R³, consider the inner product on R³ defined For a := a2 b2 b3 a3 by (a, B) := (2a1 + a2 + a3) bị + (a1 + 2az + a3) b2 + (a1 + a2 + 2a3) bz. a) Find the matrix of the inner product with respect to the standard basis of R³. into an orthonormal basis by using b) Transform the basis S := the Gram-Schmidt method.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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bị and B := E R³, consider the inner product on R3 defined For a := b2 a2 b3 аз by (a, B) := (2a1 + a2 + az) b1 + (a1 + 2az + a3) bz + (a1 + a2 + 2a3) b3. a) Find the matrix of the inner product with respect to the standard basis of R. into an orthonormal basis by using b) Transform the basis S := the Gram-Schmidt method.
Transcribed Image Text:bị and B := E R³, consider the inner product on R3 defined For a := b2 a2 b3 аз by (a, B) := (2a1 + a2 + az) b1 + (a1 + 2az + a3) bz + (a1 + a2 + 2a3) b3. a) Find the matrix of the inner product with respect to the standard basis of R. into an orthonormal basis by using b) Transform the basis S := the Gram-Schmidt method.
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