Let A = 8 -6 18 -13 a) Is matrix A diagonalizable? Yes b) If A is diagonalizable, find a matrix P along with its inverse and a diagonal matrix D such that A = PDP-¹.

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Chapter2: Second-order Linear Odes
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find P and P^-1

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Let A =
[:
P =
8 -6
18 -13
a) Is matrix A diagonalizable? Yes
b) If A is diagonalizable, find a matrix P along with its inverse and a diagonal matrix D such that A = PDP-¹.
If A is not diagonalizable, enter 0 in each of the entries below.
2/3
1
D =
-4
0
-1
"
P-1
=
6
18
-6
-3
Transcribed Image Text:Let A = [: P = 8 -6 18 -13 a) Is matrix A diagonalizable? Yes b) If A is diagonalizable, find a matrix P along with its inverse and a diagonal matrix D such that A = PDP-¹. If A is not diagonalizable, enter 0 in each of the entries below. 2/3 1 D = -4 0 -1 " P-1 = 6 18 -6 -3
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