{v1.v2,V3} a basis for R³ such that T(v2 ) = (-1,2,1),T(v2 ) = (0,5,0) and 4) Let T : R3 → R3 be a linear operator and B = T (v3) = (-1,–1,2) a) Determine whether w = (-2,1,2)is in the range of T b) Find the kernel of T

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4) Let T : R3 → R3 be a linear operator and B = {v1 v2 v3} a basis
for R3 such that T(v, ) = (-1,2,1),T(v2 ) = (0,5,0) and
%3D
%3D
T (v3) = (-1,-1,2)
a) Determine whether w = (-2,1,2)is in the range of T
b) Find the kernel of T
Transcribed Image Text:4) Let T : R3 → R3 be a linear operator and B = {v1 v2 v3} a basis for R3 such that T(v, ) = (-1,2,1),T(v2 ) = (0,5,0) and %3D %3D T (v3) = (-1,-1,2) a) Determine whether w = (-2,1,2)is in the range of T b) Find the kernel of T
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