The matrix M = has two eigenvalues: 9 and 6. The eigenvector that corresponds to 7 1 2 8 = 9 is The eigenvector that corresponds to X = ]. Determine a similarity transform which makes M diagonal. In other words, find a matrix P such that P-¹MP is a diagonal matrix. 6 is

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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The matrix
M =
7 1
28
has two eigenvalues: 9 and 6.
The eigenvector that corresponds to >
-
9 is
1
2
The eigenvector that corresponds to λ = 6 is
Determine a similarity transform which makes M diagonal. In other words, find a
matrix P such that P-¹MP is a diagonal matrix.
Transcribed Image Text:The matrix M = 7 1 28 has two eigenvalues: 9 and 6. The eigenvector that corresponds to > - 9 is 1 2 The eigenvector that corresponds to λ = 6 is Determine a similarity transform which makes M diagonal. In other words, find a matrix P such that P-¹MP is a diagonal matrix.
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