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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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().

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().

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...

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Question

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

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