07 2 [1 1 -1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 A. Find all solutions to Ax = 0 B. Find a vector b such that Ax = b is consistent C. Find a solution to Ax = 0 where all entries are greater than 0 or show that it's impossible.
1 1 1 0 1 Let A 0 0 and B 1 0 1 0 1 0 0 1 0 1 1. If C = A o B, then C31 0 and C21 1 2. If E = AV B, then E32 1 3. If G = A AB', then G 12 = 1
1 0 o 0 1 1 Let A= 0 1 and B = 0 0 0 - 0 1. If C = A O B, then C32 = and C13 = 2. If E = A V B, then E21 = 3. If G = A ^ B, then G12 =
(a) Consider the binary bit sequence, 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1. (i) Draw the waveform for Manchester encoding. (ii) Draw the waveform for HDB3 encoding. The first pulse is “-“. (iii) Explain the weakness of Bipolar-AMI and how HDB3 overcomes the weakness.
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1 00 0 1 0 00 -2 3 0 0 0 1 I = 0 0 0 0 6. (10%) Let matrices A and 0 -4 5 0 1 0 -6 7 0 0 0 1 B=(I+A) (I-A) , please calculate the matrix (I+ B) - o0
1 00 0 1 0 00 -2 3 0 0 0 1 I = 0 0 0 0 6. (10%) Let matrices A and 0 -4 5 0 1 0 -6 7 0...
A certain weak base has a K of 7.50x107. What concentration of this base will produce a pH of 10.23? Number 00017 NH3 is a weak base (Kb = 1.8 x 10-5) and so the salt NH4Cl acts as a weak acid. What is the pH of a solution that is 0.069 M in NH4Cl at 25 °C? Number pH-
[1 -1 0 0 -2 0] 1 4 -4 0 0 -8 0 (1 point) Let A = 10 0 -1 2 -3 3 . Find a basis for the row space of A, a basis for the column space of A, a basis for the null space 0 0 0 -3 0 -2 Lo 0 1 0 3 3] [1 -1 0 0 -2 01 0 0 1 0 3 0 of A, the rank of A, and the...
1. For the 5 x 5 tridiagonal matrix 2 0 0 0 -1 2 -1 0 0 T=10-1 2-1 0 0 0 -1 2-1 0 0 02 use Sturm sequences with bisection to find all of the eigenvalues in the interval [0, 1.5 to one significant digit
1. For the 5 x 5 tridiagonal matrix 2 0 0 0 -1 2 -1 0 0 T=10-1 2-1 0 0 0 -1 2-1 0 0 02 use Sturm sequences with bisection to...
Consider the unit cube with vertices (corner points) (0, 0, 0),
(0, 1, 0), (1, 0, 0), (1, 1, 0), (0, 0, 1), (0, 1, 1), (1, 0, 1),
(1, 1, 1). Let S be the boundary of the cube minus (i.e. not
including) the bottom square (the side which lies in the xy plane).
Orient S with the normal which points out of the cube. Let F =
<− y , x , y^2e^x . Evaluate (curl F) ·...