The linear transformation_T:R³ OK² is represented.by the matrix [T]8= 1 20where B=012and B' =二(①4) [3B3) [²][]10212台D2>E) [3]⑥) [幻小1周圍⑥) ()

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Answered: The linear transformation_T:R³ OK² is…

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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then the standard matrix of T is A = 20 17 38 -17 20 T ([³]) = [²9] 38 ¹ ¹([^]) = [³] · and T
The matrices A₁ = A3 [] = ^--^- A₂ = [] =[] A4 form a basis for the linear space V = R 2x2. Write the matrix of the linear transformation T: R 2x2R 2x2 such that T(A) = 3A + 10AT relative to this basis.
2. Find a CR-decomposition for each complex matrix A and state the rank of A. -1 1 2+ i ^=671²1 i (a) A = 3 (b) A = 10i 6 - 2i -15i -9 -6+3i
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The linear transformation_T:R³ OK² is represented. by the matrix [T]8= 1 20 where B= 012 and B' = 二 (① 4) [3 B3) [²] [] 102 1 2 台 D 2 > E) [3] ⑥) [幻 小 1 周圍 ⑥) ()

The linear transformation_T:R³ OK² is represented. by the matrix [T]8= 1 20 where B= 012 and B' = 二 (① 4) [3 B3) [²] [] 102 1 2 台 D 2 > E) [3] ⑥) [幻小 1 周圍 ⑥) ()