Let -1 -1 A = 0 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you found in part (1) makes P-'AP a diagonal matrix, say D. Write down this matrix D without finding P-1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Let
-1
-1
A =
0 15 -2
(1) Find a matrix P that diagonalizes A.
(2) By definition, the matrix P you found in part (1) makes P-'AP
a diagonal matrix, say D. Write down this matrix D without
finding P-1.
Transcribed Image Text:Let -1 -1 A = 0 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you found in part (1) makes P-'AP a diagonal matrix, say D. Write down this matrix D without finding P-1.
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