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Show that the eigenvalues of the matrix
are -2, -2, 4 and 4. Using the nullity, given by (1.11), of appropriate matrices, show that there are two linearly independent eigenvectors corresponding to the repeated eigenvalue -2 and only one corresponding to the repeated eigenvalue 4. Obtain a further generalized eigenvector corresponding to the eigenvalue 4. Write down the Jordan canonical form of A.
a well-insulated rigid vessel contains 3 kg of saturated liquid water at 40 degrees celsius. the vessel also contains
r-134a enters a water-cooled compressor as saturated vapor at 1 bar with a mass flow rate of 0.9 kgmin. the inlet area
A torque T is introduced from the right end of the shaft and removed at the gear wheel. The number of stepped section is given, however the length of each section and their diameters are unknown and need to be determined. Determine the length and ..
you decde to have 2 hard boiled eggs for breakfast and prepare them by placing 2 refrigerated eggs into a pot of
one kilogram of saturated liquid methane at 160 k is placed in an adiabatic piston-and-cylinder device and the piston
a steel tape is used to measure a distance of 20 m at a 10 0c. assuming that the tapenbspwill measure the true distance
atank of 0.1-m3volume contains air at 298.15k 25degc and 101.33kpa.the tank is connected to a compressed-air line which
Determine the bulk modulus of elasticity of a liquid by using the following data: The volume is 3 L at 2 MPa, and the volume is 2.75 L at 3 MPa.
a rigid tank has a volume of 60 liters and initially contains a two-phase liquid-vapor mixture of h2o at a pressure of
a single acting air motor has a bore of 380mm and stroke of 610mm. the supply pressure and temperature is 6.2 bar and
When isotherms for a Van der Waals gas are plotted on a p-V diagram, which are the considerations?
Air enters a turbine at 40 kN/m2, 900 C, and leaves at 10 kN/m2. The flow is reversible and adiabatic. Inlet velocity is quite low and outlet velocity is 150 m/s through a cross-sectional area of 0.20 m2. Calculate the power output in kW.
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