Answered: Let T : M2x2 (R) → M2x2 (R) be the…

Let T : M2x2 (R) → M2x2 (R) be the linear transformation defined by "(: :)-( ) "). 2x z y - z+ w T 2w 2w – z Is T diagonalizable? If so, find B so that [T], is diagonal.

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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Question

Let T : M2x2 (R) → M2x2 (R) be the linear transformation defined by
"(: :)-( )
").
2x
z y - z+ w
T
2w
2w – z
Is T diagonalizable? If so, find B so that [T], is diagonal.

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