a. Given that ủ1 and v2 = 2 are eigenvectors of the matrix -3 0] determine the -10 2 corresponding eigenvalues. b. Find the solution to the linear system of differential equations — За satisfying ly' the initial conditions x(0) = -1 -10x + 2y and y(0) = 1. x(t) = y(t) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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a. Given that ủị
and v2
2
are eigenvectors of the matrix
-3 0]
determine the
-10 2
corresponding eigenvalues.
d2 =
b. Find the solution to the linear
system of differential equations
-3x
satisfying
-10x + 2y
y'
the initial conditions x(0)
-1
and y(0) = 1.
æ(t) =
y(t) =
Transcribed Image Text:a. Given that ủị and v2 2 are eigenvectors of the matrix -3 0] determine the -10 2 corresponding eigenvalues. d2 = b. Find the solution to the linear system of differential equations -3x satisfying -10x + 2y y' the initial conditions x(0) -1 and y(0) = 1. æ(t) = y(t) =
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