ii) Let T:R → R’be a linear transformation such that T(1,0,0) = (-2,–1,4) T(0,1,0) = (1,–5,3) T(0,0,1) = (6,0,–5) Find T(7, -1, 4) Hint: v = c,V, +C2V2 +C;V3 T(v) = c,T(v, )+c,T(v,)+c;T(v;)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 20CR: Let T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3....
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E. Please Help me with this math. Image attached. Thank you.

 

ii)
Let T:R → R*be a linear transformation such that
T(1,0,0) = (-2,–1,4)
T(0,1,0) = (1,–5,3)
T(0,0,1) = (6,0,–5)
Find T(7, -1, 4)
Hint:
v = c,V, +c,V2 +C3V3
T(v) = c,T(v; )+c,T(v,)+c;T(v;)
Transcribed Image Text:ii) Let T:R → R*be a linear transformation such that T(1,0,0) = (-2,–1,4) T(0,1,0) = (1,–5,3) T(0,0,1) = (6,0,–5) Find T(7, -1, 4) Hint: v = c,V, +c,V2 +C3V3 T(v) = c,T(v; )+c,T(v,)+c;T(v;)
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