Please answer this questions. The previous given answer wasn't correct Given the following basis B and vector space V use the Gram-Schmidt procedure tofind the orthonormal basis.= {(1, 2, 1), (1, 1, 3) (2, 1, 1)}, V = R³B =Check if the following mapping is linear transformation or not. Justify your answerT:R² → R³T(x, y) = (5x, x - 2y, y - x)

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Answered: Given the following basis B and vector…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 12CM

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Please answer this questions. The previous given answer wasn't correct

Given the following basis B and vector space V use the Gram-Schmidt procedure to
find the orthonormal basis.
= {(1, 2, 1), (1, 1, 3) (2, 1, 1)}, V = R³
B =
Check if the following mapping is linear transformation or not. Justify your answer
T:
R² → R³
T(x, y) = (5x, x - 2y, y - x)

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Given the following basis B and vector space V use the Gram-Schmidt procedure to find the orthonormal basis. = {(1, 2, 1), (1, 1, 3) (2, 1, 1)}, V = R³ B = Check if the following mapping is linear transformation or not. Justify your answer T: R² → R³ T(x, y) = (5x, x - 2y, y - x)