-12 a. The matrix has eigenvalues 1 =-3 and A2 =-6. Find eigenvectors corresponding to these eigenvalues. -6 3 and oz = -12z + 9y Find the solution to the linear system of differential equations satisfying the initial conditions z(0) = -7 and y( -6z + 3y =) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer all parts correctly
12
a. The matrix
has eigenvalues , = -3 and A2 =-6. Find eigenvectors corresponding to these eigenvalues.
-6
1
and 2 =
-12x + 9y
-6z + 3y
Find the solution to the linear system of differential equations
satisfying the initial conditions z(0) = -7 and y(0) = -4.
2(t) =
y(t) =
Transcribed Image Text:12 a. The matrix has eigenvalues , = -3 and A2 =-6. Find eigenvectors corresponding to these eigenvalues. -6 1 and 2 = -12x + 9y -6z + 3y Find the solution to the linear system of differential equations satisfying the initial conditions z(0) = -7 and y(0) = -4. 2(t) = y(t) =
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