4. The generator matrix for a (7,3) code is: 0 1 1 G=1 0 1 1 0 1 10 10 0 1 1 0 0 1 a. A vector c= (x1, x2, ..., x7) is a valid codeword if and only if it satisfies the equation He" = 0 for some matrix H. List all codewords of this code. b. What is the rate of the code? с. What is the weight of the code?

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A: The Answer is

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A: ANSWER:-

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A: import numpy as np m = np.array([[1,-1,-1],[1,3,1],[-3,1,-1]) print("Printing the Original square…

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A: We need to find the image and preimage.

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A:

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A: Answer: I have given answered in the handwritten format in brief explanation.

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A:

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Q: Q1: if y = [1,2,3,4,6,5,4,3,8,9,7,6,5,4,3,2], then a) replace the first three elements of vector y…

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Q: Q1: if y = [1,2,3,4,6,5,4,3,8,9,7,6,5,4,3,2], then a) replace the first three elements of vector y…

A: The answer is as follows:-

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A:

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A: ANSWER:-

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A:

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A: Required:   Required code with comments for explanation and screenshot of both code and output has…

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A: %Each row has to be separated by ; and random array with 3 rows and 1 column is generatedA=[1; 2; 3]…

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A: Given   Define Count to infinity in distance vector protocol

Q: 5. Is R transitive? Explain. 6. Find the matrix representing R“.

A: Here in this question we have given a relation R={(1,2),(2,1),(2,3),(3,4),(4,1)} on {1,2,3,4}.and we…

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A: Given: Construct a 3 x 3 nonzero matrix A such that the vector  is a solution of Ax = 0.

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A: I'm providing you this solution in Matlab Command. I hope this is helpful for you..

Q: Find the value of *a', if B = | is a singular matrix? (A) 5 9 (8) (C) 7 O B

A: Singular Matrix

Q: Let M be the set of two by two invertible matrices. Then M is a vector space under standard addition…

A: ANSWER : FALSE      is correct answer Definitely not. For example, if it were a vector space, then…

Q: Q4: A / Given a vector v = [0:0.04:1] plot the surface of y' * y matrix when y = sin(v * 2 * )?

A: >> v = [0:0.04:1] >> y = sin(v*2*pi) >> surf(y' * y)

Q: 2) Define the 5 x 4 matrix, g. [0.6 1.5 2.3 - 0.5 8.2 0.5 -0.1 - 2.0 g =|5.7 8.2 9.0 1.5 0.5 0.5 2.4…

A: (a) a = g(:,2) It will reference  all the elements of 2nd Column of Matrix g. so ,  a =…

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A: Given: 43. Determine whether the statements are TRUE or FALSE. Write TRUE if the Statement is True…

Q: Define the 5 x 4 matrix,g. Find the content of the following matrices b) a =g (4,:) d) a =g…

A: a=g(:,2) will fetch all the elements in second column and thus content looks as follows 1.5 0.5 8.2…

Q: Draw vector space model by using

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Q: Suhani is damn good in the study and want to be great mathematician like Brahmagupta. She is keep…

A: Here, Code instruction is given.

Q: Suhani is damn good in the study and want to be great mathematician like Brahmagupta. She is keep…

A: According to the given problem statement we have to resolve the issue optimally so that the…

Q: Determine by inspection, which one of the following statements is true regarding the vector u= 0 Oa…

A: Determine by inspection, which one of the following statements is true regarding the vector   O.a)…

Q: Find a basis for and the dimension of the subspace w of R4. w = {(0, 4t, t, -t): t is a real number}…

A: Given: Sub-space W of R4 is = {( 0, 4t, t , -t ) : t is real numbers}

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A:

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A: Answer :

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A: Adjacency matrix A: