c) Define the linear transformation T: R³ →R² by T([])= [² = ³6 ] a - 3c +b- Find a basis for the null space of T and its dimension

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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c) Define the linear transformation T: R³ →R² by
a -3c
T
* ( [²]) = [₂² -7 ²³²
3cd]
La +.
Find a basis for the null space of T and its dimension
Transcribed Image Text:c) Define the linear transformation T: R³ →R² by a -3c T * ( [²]) = [₂² -7 ²³² 3cd] La +. Find a basis for the null space of T and its dimension
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