Let T: R3 → R3 be the linear transformation that projects u onto v = (5, 1, –1). (a) Find the rank and nullity of T. rank nullity 2 (b) Find a basis for the kernel of T.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...
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Let T: R3 → R3 be the linear transformation that projects u onto v = (5, 1, –1).
(a) Find the rank and nullity of T.
rank
nullity
2
(b) Find a basis for the kernel of T.
Transcribed Image Text:Let T: R3 → R3 be the linear transformation that projects u onto v = (5, 1, –1). (a) Find the rank and nullity of T. rank nullity 2 (b) Find a basis for the kernel of T.
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