Consider the linear system 3 *' = Find the eigenvalues and eigenvectors for the coefficient matrix. help (numbers) help (matrices) and help (numbers) help (matrices) 12 = , 02 = Find the real-valued solution to the initial value problem x =-3x1 – 2x2, x 5x1+3x2, æ1(0) = -4, x2(0) = 10. Use t as the independent variable in your answers. 1(t) * help (formulas) r2(t) help (formulas)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Consider the linear system
3
*' =
27
a.
Find the eigenvalues and eigenvectors for the coefficient matrix.
help (numbers)
help (matrices)
A1 =
, 01 =
and
help (numbers)
help (matrices)
12 =
, v2 =
Find the real-valued solution to the initial value problem
x = -3x1 – 2x2,
x = 5x1+3x2,
x1(0) = -4,
x2(0) = 10.
Use t as the independent variable in your answers.
help (formulas)
T2(t)
help (formulas)
OK
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Transcribed Image Text:Consider the linear system 3 *' = 27 a. Find the eigenvalues and eigenvectors for the coefficient matrix. help (numbers) help (matrices) A1 = , 01 = and help (numbers) help (matrices) 12 = , v2 = Find the real-valued solution to the initial value problem x = -3x1 – 2x2, x = 5x1+3x2, x1(0) = -4, x2(0) = 10. Use t as the independent variable in your answers. help (formulas) T2(t) help (formulas) OK Learn more Cookies help us deliver our services. By using our services, you agree to our use of cookies.
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