Find the scalar and vector projections of b onto a. a = i + 4j + 5k, b = 9i − k scalar projection of b onto a vector projection of b onto a
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![Let A = [1 -4 -3 -4 4 0 2 4 6] and b = [b1 b2 b3] Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax = b does have a solution. How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. A. Find a vector b for which the solution to Ax = b is the zero vector. B. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. C. Find a vector x for which Ax = b is the zero vector.
D. Row reduce the matrix A to demonstrate that A has a pivot position in every row. E. Row reduce the augmented matrix [ A b ] to demonstrate that [ A b ] has a pivot position in every row. Describe the set of all b for which Ax = b does have a solution. Type an expression using b1, b2, and b3 as the variables and 1 as the coefficient of b)](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1700960889-Q7.JPG)
![P3: In an amplitude modulation system, the message signal is the periodic square wave shown below and the carrier frequency is 1 kHz. The modulator output is xAM(t) = 2[b+0.5 m(t)]cosωct (a) Determine the average power in xAM(t) as a function of b and A. (b) If b = A, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.](https://www.doubtrix.com/uploads/editor/0689037952brAqHOsamN.jpg)