Mathematics Homework Solutions

Eigenvalues of Matrix

Calculate the eigenvalues of this matrix {see attachment} Note: You'll probably want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

Solve the matrix system.

Please see attached file for full problem description. Solve the system -4 3 -18 11 with the initial value 9 22

Matrix System (Eigenvector)

Please solve the attached matrix system. Solve the system -20 5 -20 5 with the initial value 0 -6

Matrix System

Please solve the attached system. Give solution in real form. Solve the system -3 -3 3 -3 with 1 -1

Matrix System

Please solve the attached system (give solution in real form). Solve the system -9 3 -30 9 with 2 1

Equivalent Systems : Second Order to First Order

Write the given second order equation as its equivalent system of first order equations {see attachment} Use v to represent the "velocity function" Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) Now write the system using matrices {see attachment ...continues

Eigenvalues

Calculate the eigenvalues of this matrix: -16 6 60 2 [Note-- you'll probably want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues..... (see attached)]

Matrix System

Solve the system with the initial value... see attached. Solve the system -20 5 -20 5 with the initial value 0 -6

Matrix System

Solve the system attached - Give your solution in real form. -9 3 -30 9 with 2 1

Matrix System

Solve the system attached . Give your solution in real form. Solve the system -3 -3 3 -3 with 1 -1

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