4. Consider the matrix A = 1 -2 4 4 2-8 -1 Note: you do not need to compute P-1. 8 11 = 3 and ₂ Knowing that eigenvalues of A are ₁ diagonal matrix D and an invertible matrix P such that A = PDP-1 = 5 diagonalize this matrix; that is, find a

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4. Consider the matrix
A =
1
-2
8 4
11 4
2-8 -1
Note: you do not need to compute P-1.
Knowing that eigenvalues of A are ✈₁ = 3 and ₂ = 5 diagonalize this matrix; that is, find a
diagonal matrix D and an invertible matrix P such that
A = PDP-1
Transcribed Image Text:4. Consider the matrix A = 1 -2 8 4 11 4 2-8 -1 Note: you do not need to compute P-1. Knowing that eigenvalues of A are ✈₁ = 3 and ₂ = 5 diagonalize this matrix; that is, find a diagonal matrix D and an invertible matrix P such that A = PDP-1
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