Let B = {(4,–3,0); (1,2,0); (0,0,4)} be a basis of R³. Using Gram-Schmidtprocess, we get0); (0,0,1)} is an orthonormal basis of R³.b. B' = {(4, –3,0); (0); (0,0, 4)} is an orthonormal basis of R³.c. B' = {(;,o); (,,0); (0,0, 4)} is an orthonormal basis of R³.a. B' =(3325 25d. None of these.

Given that B=4,−3,0,1,2,0,0,0,4 be a basis of R3. We have to find the orthonormal basis of R3. Let…

Answered: Let B = {(4,-3,0); (1,2,0); (0,0,4)} be…

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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Let B = {(4,-3,0); (1,2,0); (0,0,4)} be a basis of R°. Using Gram-Schmidt process, we get a. B' = {(0): (0); (0,0,1)} is an orthonormal basis of R. b. B' = {(4,-3,0); (G0): (0,0,4)} is an orthonormal basis of R³. c. B' = {(0); 0); (0,0,4)} is an orthonormal basis of R°. d. None of these.