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Show all the work step by step...Math physics problems. 5. Solving the following

ID: 1315933 • Letter: S

Question

Show all the work step by step...Math physics problems.

5. Solving the following equations using Cramer?s rule for x, y, and z 2x - y + z = 1 2y - z = 0 x + 2z = 4 6. Determine the eigenvalue and eigenvector of the following matrix [0 i -i 0] 7. For a horizontal spring with a spring constant of 1 N/m with an attached mass of 1 kg. The mass m was released at a position of 0.1 m from its equilibrium point (x = 0). (a) Determine the position (x) of the mass as a function of time (t). (b) Determine the velocity of the mass when it is at x = 0.

Explanation / Answer

the general equation for simple harmonic motion of the mass attached to spring can be given as