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Let A be n n matrix: answer the following questions
(a) What is the condition for matrix A to have inverse? Discuss this in terms of rank, determinant, linear dependence of rows and columns of matrix A, singular or non-singular.
(b) Show that if A has inverse then AT also has inverse
(c) Last class we talked about homogenous linear system. Assume we have n equations with n unknowns, list a condition for this system to have non-trivial solution
(d) rank(A+B) rank(A)+rank(B) give example for 22 matrices for which rank(A+B)would be i. 0 ii. 1 iii. 2
The voltage and current at the terminals of an ideal element are 0, for t _ (minus equal) 0s. V(t) = 100(1-e^(-300t) V, i(t) = 15e^(-400t) mA. Find the maximun power absorbed by the element by the element at t = 10ms
The gain of the antennas must be increased when the TDMA system described in part (d) is used because the bit rate is higher than with FDMA and the noise power in the receiver is therefore higher
Explain the characteristics of electromagnetic waves and application to communications systems and determine the signal spectra for the content of complex waveforms
Signal Definitions are A.H, B.L ,C.L, D.H and Z.L. It is recommended you apply DeMorgan's Theorem first to the above equation. Draw (on paper) a circuit diagram implementing Z, using the minimum number of gates.
How tall must the antennas be if the link operates on a frequency of 2.450Ghz, D1=5miles, D2=11miles, and the obstruction is 60 feet high?
Using coppers resistivity of 10.30 CM-olm/ft at +25 °C, find how long a 1 inch square bar of copper would need be to have a resistance of 1 at +20 °C
Telephone channels have a bandwidth of about 3.1khz. do the following in excel. A) If a telephone channel signal to noise ratio is 1000, how fast can a telephone channel carry data?
find the voltage E and the current Ir and IL in phasor form
Store the arrival times in memory locations starting from $1000.(Do this is in C. Store the results in an array and don't worry about the speci c location of the results.)
Determine a suitable sampling frequency. Design a notch filter to remove the 50Hz component, paying particular attention to any assumptions you have made in the design.
2. Compute the symbol error probability for both constellations in terms of the Gaussian error integral Q(x). 3. Compute the bit error probability for both constellations in terms of the Gaussian error integral.
In a long cilindric wire with a radius of 2 cm, a corrent with 80A goes thorugh it. What is the magnetic energy per unit of wire lenght?
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