Let T: R2 R² be defined by T ([^])=[*] -6 - {₁₁ = [-] ₁¹₂ = [-²] ₁} and and C= Let B = - {v₁ = [²¹₁] ₁²-[i]} Find [71, the matrix representation of Twith respect to the bases B and C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Matrix representation with respect to nonstandard bases.

 

Let T: R2 R² be defined by T
Lot 85 - (₁ -[-]-[²]} a {₁-[²₁][i]}-
B =
=
and C= = =
V2
· ([22]) = [., *2₂]·
+
{v
[71%
-B
Find [71, the matrix representation of Twith respect to the bases B and C.
Ex: 5
Transcribed Image Text:Let T: R2 R² be defined by T Lot 85 - (₁ -[-]-[²]} a {₁-[²₁][i]}- B = = and C= = = V2 · ([22]) = [., *2₂]· + {v [71% -B Find [71, the matrix representation of Twith respect to the bases B and C. Ex: 5
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