Suppose L: R2 R2 is defined by L→→ordered bases.[L(u)]B₁=[L(u)]B₂³=· 4 [X₂] - [×₂ -³x, ] · Let B, = {[§ ]· [²]} and B₂ = {[2]· [4]}=X21be ordered bases for R². If u =[₁2], find [L(u)]g, and [L(u)]g,, the coordinate vectors of L with respect to each of the given12

Let is defined by .Let and be ordered basis of .Given .We need to find and .

Answered: Suppose L: R² R² is defined by L…

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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Suppose L: R² R² is defined by L ordered bases. [L(u)]B₁ = [L(u)]₂ 4 [X₂] - [ × ₂ -³X₁ ] . Let B₁ = { [ 3 ][{}}} • 11 and B₂ = be ordered bases for R2. If u = find [L(u)], and [L(u)], the coordinate vectors of L with respect to each of the given