24 4 5. B=0 1 -1 01 3 (1) Find its eigenvalues and eigenvectors (2) Do the eigenvectors form a basis of R³? (Give the reasons for your answer.)

In Chapter 12, we explained that the electric power consumption of various electrical components can be determined using the following power formula: P = VI = RI2 where P is power in watts, V is the voltage, I is the current in amps, and R is the resistance of the component in ohms. Plot the power consumption of an electrical component with a resistance of 145 ohms. Vary the value of the current from zero to 4 amps. Discuss and plot the change in power consumption as the function of current drawn through the component.