Let y: R2 R2 be a linear endomorphism given by the formula((1,22)) = (4x1 + 3x2,-6x15x2).LetA = M(y)sta) find the eigenvalues of y and bases of the corresponding eigenspaces. Is matrixA diagonalizable?b) compute A60, where A = M(p).

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Answered: Let y: R² R² be a linear endomorphism…

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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Let y: R² R² be a linear endomorphism given by the formula p((1, 2)) = (4x1 + 3x2,-6x15x2). Let A = M (9) a) find the eigenvalues of p and bases of the corresponding eigenspaces. Is matrix 4 A diagonalizable? b) compute A60, where A = M().