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;)

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