Determine the eigenvalues and eigenvectors for matrices

Assignment Help Mechanical Engineering

Reference no: EM13705942

Determine the eigenvalues and eigenvectors for the following matrices:

a) [A] = [1,0,0; 0,7,0; 0,0,11]

b) [A] = [1,0,0; 0,3,1; 0,1,3]

c) [A] = [3,0,1; 0,1,0; 1,0,3]

d) [A] = [3,1,0; 1,3,0; 0,0,1]

Hint: in all these matrices at least one eigenvalue is lambda=1 Think about how the results of b) can be used to solve c) and d) I need a step by step answer to all parts of the question for points.

Reference no: EM13705942

Questions Cloud

Isothermal process until half of mass is gas and liquid : 5ft3 of ammonia is initially at 100 psi and a specific volume of 0.024ft3/lbm is heated or cooled to make this an isothermal process until half of the mass is gas and the remaining is liquid. At what temperature does this process occur and how much w..

Position of a particle on a straight line : The position of a particle on a straight line is s=2t^2-12t5 (ft), where t is in seconds.

Earths atmosphere is the radial gravitational attraction : The only force acting on an earth satellite traveling outside of the earth’s atmosphere is the radial gravitational attraction. The moment of this force is zero about the earth’s center taken as a fixed point. Prove that r2? Remains constant for the ..

Determine the specified property data at indicated states : For each case, determine the specified property data at the indicated states. Locate the state in sketches of the p-v and T-v diagrams.

Determine the eigenvalues and eigenvectors for matrices : Determine the eigenvalues and eigenvectors for the following matrices:

Process for which the pressure-specific volume relation : 12. 3 kg of refrigerant 22 undergoes a process for which the pressure-specific volume relation is pv^-0.8 = constant. The initial state of the refrigerant is 12 bar and 60 degrees C. The final pressure is 8 bar. Kinetic and potential energy effects a..

Molar mass of an ideal gas that has a specific heat ratio : What is the mean molar mass of an ideal gas that has a specific heat ratio (k) of 1.11, and a specific heat at constant pressure of 1.680 kJ/kg K?

What is the work required using the compressed liquid tables : Saturated liquid water at 25°C is pumped to a pressure of 5MPa in an isothermal process. The specific work required by the pump to pressurize the water to 5MPa can be found as the change in enthalpy of the water from the inlet pressure to the outlet ..

If the crest of a hill has a radius of curvature : If the crest of a hill has a radius of curvature i = 200ft, determine the maximum constant speed at which the car can travel over it without leaving the surface of the road. Neglect the size of the car in the calculation. The car has a weight of 3500..

User Account

All Pages