3. The eigenvalues of the matrix A= 8 5 4 are A₁ = A₂ = -3, A3 = 15. 4 I (a) (b) (c) Find the corresponding eigenspace for each eigenvalue of A. Is the matrix A diagonalizable? Explain your reasons. If A is a diagonalizable matrix, find the matrices P and D such that A = PDP-1 where D is dagonal.
3. The eigenvalues of the matrix A= 8 5 4 are A₁ = A₂ = -3, A3 = 15. 4 I (a) (b) (c) Find the corresponding eigenspace for each eigenvalue of A. Is the matrix A diagonalizable? Explain your reasons. If A is a diagonalizable matrix, find the matrices P and D such that A = PDP-1 where D is dagonal.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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