Be S = {v1 = (1, 2, 1), v2 = (2,9, 0), v3 = (3, 3,4)} a subset of R and T: R → R? T(v1) = (1,0), T(v2) = (-1, 1), T(v3) = (0, 1). a)Find Ker(T) and a basis for Ker(T). What is the dim (Ket (T))? satisfies the theorem of b)dimension? T is iniecting? T Is it Subiective? Is T isomorphism? justify

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear algebra 

Be S = {v1 = (1, 2, 1), v2 = (2,9, 0), v3 = (3, 3,4)} a subset of R and T:
R → R?
T(v1) = (1,0), T(v2) = (-1, 1), T(v3) = (0, 1).
a)Find Ker(T) and a basis for Ker(T). What is the dim (Ket (T))? satisfies the theorem of
b)dimension? T is iniecting? T Is it Subiective? Is T isomorphism? justify
Transcribed Image Text:Be S = {v1 = (1, 2, 1), v2 = (2,9, 0), v3 = (3, 3,4)} a subset of R and T: R → R? T(v1) = (1,0), T(v2) = (-1, 1), T(v3) = (0, 1). a)Find Ker(T) and a basis for Ker(T). What is the dim (Ket (T))? satisfies the theorem of b)dimension? T is iniecting? T Is it Subiective? Is T isomorphism? justify
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