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

Transcribed Image Text: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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