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1. Find the rank of matrix A.A=[1 1 1]2 3 -11 -1 3
3. Find the inverse by Gauss-Jordan (or state that it does not exist) of the matrix in Exercise 1.
4. Find the components and the length of the vector u with initial point P(1, 1, -3) and terminal point Q(-2, -1, 4). Sketch u and determine the unit vector in the direction of u.
5. Consider the vectors a=(-1, 2, -2) and b=(2, 1, -5). Find a · b, the angle between a+b and a-b, and |(a+b)x(-b)|.
The two-wire 120-V supply line from the electric power company to the consumer has a resistance of 0.03 ohm. If a short circuit occurs at the consumer's residence, find the current that flows through the short-circuit.
The input impedance of a JFET used in COMMON SOURCE configuration, is defined by two considerations: The JFET itself has a VERY HIGH INPUT IMPEDANCE, because the input is the GATE to SOURCE junction that is REVERSE biased
The counter must stop at a value which is defined by using the 8 slide switches. Use the discrete LEDs as the output to validate the counter. The counter should run when a push button ‘run' is being pressed.
Design a simple unipolar drive circuit such that the electrical time constant is 2 msec at phase turn-on and 1 msec at turnoff. The stepping rate is 300 steps per second. A three-phase variable-reluctance stepper motor has parameters.
Consider the signal x(t)=e^-at where a is a positive number. Determine the Fourier Transform of and plot both the magnitude and the phase angle as a function of the frequency.
An engineering firm consisting of 3 programmers and 6 circuit engineers. The employees are randomly assign to 3 teams of 3, labeled Group 1, Group 2, and Group 3. a) How many ways are there to assign the 9 employees to Groups 1, 2 & 3
Two voltage waves of equal amplitude, V0, and frequency w, propagate in the forward z direction in a lossless transmission line of characteristic impedence Z0. One waves is phase-shifted from the other by \o radians.
An engineer needs to detect a binary strings of any length or composition provided that each contains at least one substring of "1101". a) Draw the state diagram of this finite state machine.
Discuss why it is that for a discharging capacitor, the discharge current is in the direction opposite from the charging current. Explain why capacitive reactance is measured in ohms. Also, state two differences between capacitance and capacitive r..
An angle modulated signal is given by EM(t)=5cos[Wct + 20sin100pi(t) + 10sin2000pi(t)] a. Find the power in the modulated signal b. Find the peak frequency deviation in Hz. c. Find the peak phase deviation in radians. d. Find the bandwidth
The enclosure is to be built to have an area A of 2000 ft^2. The cost of the fence is $50 per foot for the curved portion and $40 per foot for the straight sides. Use the fminbnd function to determine with a resolution of 0.01 ft the values of R a..
In addition, there are two 20 A, single-pole breakers protecting branch circuits supplying 277V lighting circuits. Is this panel classified as a power panelboard or an appliance and branch circuit panel-board.
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