Repeated Eigenvalues
A 2x2 matrix with only one eigenvalue needs a second solution built from a generalized eigenvector and an extra factor of t.
8 exercises
Exercise 1
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 2
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 3
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 4
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 5
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 6
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 7
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Exercise 8
Find the general solution of each of the linear systems in Solving Linear Systems with Repeated Eigenvalues.
Adapted from The ODE Project © 2019–2025 Thomas W. Judson. Licensed under CC BY 4.0. Source: The ODE Project. Imported at revision 7935458.