Homework Answers
Given then following data points x(1) = (2, 8); x(2) = (2, 5); x(3) = (1, 2); x(4) = (5, 8) x(5) = (7, 3); x(6) = (6, 4); x(7) = (8, 4); x(8) = (4, 7) Compute 2 iterations of the K-Means algorithm by hand using the Forgy’s initialisation choosing x(3),
Given then following data pointsx(1) = (2, 8); x(2) = (2, 5); x(3) = (1, 2); x(4) = (5, 8)x(5) = (7, 3); x(6) = (6, 4); x(7) = (8, 4); x(8) = (4, 7)Compute 2 iterations of the K-Means algorithm by hand using the Forgy’s initialisation choosing x(3), x(4) and x(6). Calculate the loss function in each iteration.
8 7 6 5 4 3 2 1 - -2 3 -4 -5 - -7 Solve...
8 7 6 5 4 3 2 1 - -2 3 -4 -5 - -7 Solve the system: y = ax + ba + c y = px + 9 The solution(s) are: Enter your answers as ordered pairs (x,y). If no
How Question:solve the system X 1 1 8 1 0 1 5 9 1 2 X...
How Question:solve the system X 1 1 8 1 0 1 5 9 1 2 X 3
Given the system represented in state space as follows: dx=[ -1 -7 6; -8 4 8;...
Given the system represented in state space as follows: dx=[ -1 -7 6; -8 4 8; 4 7 -8]x+[-5 ;-7; 7] y=[-9 -9 -8 ]*x convert the system to one where the new state vector , z, is z=[-4 9 -3; 0 -4 7; -1 -4 -9]*x find and compare both of system’s eigenvalues how can we code this problem with MATLAB?
1-8 Consider the system of equations given by: x = ( 5 -1 -4 . a....
1-8 Consider the system of equations given by: x = ( 5 -1 -4 . a. Find a fundamental matrix for the system. X40 X(t) = b. Find the matrix exponential, y(t) = At, of the system. (t) = c. Solve the initial value problem with a(0) = 7 using the matrix exponential found in Part b. x(t) =
9+ 5 8 7 4 h(x) 6 3 y-values 5+ y-values 4 N 8(x) 3 2...
9+ 5 8 7 4 h(x) 6 3 y-values 5+ y-values 4 N 8(x) 3 2 1 3 2 X-values Ou 2 3 x-values If f(x) g() then h(x)' f'(4) = -13/2 Preview Get help: Video
1) Using Matlab, find all real and complex roots of the following polynomial equation: (x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)=8 2)...
1) Using Matlab, find all real and complex roots of the following polynomial equation: (x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)=8 2) Using Matlab, find the root for the following system of equations. Both x and y are positive. a: (x^2)cos(y)=1 b: e^(-4x)+1
1. Consider the following system of linear equations: (8 marks) x+y = 3 7 7 2...
1. Consider the following system of linear equations: (8 marks) x+y = 3 7 7 2 -x+z=2 y-w=1 W = 4 z + w = 4 1) Use Gauss-Jordan elimination to put the augmented matrix corresponding to this system into reduced row echelon form. Clearly show all the elementary row operations applied. (3 marks) 12 nn
Number in Family 4 4 5 2 8 3 4 6 1 3 7 4 4...
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10 Draw the graph of f(x) = 52-2 No + 9 8 7 6 5 4...
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Draw the graph of f(x) = 52-2 No + 9 8 7 6 5 4 3 2 1 5 6 7 8 9
8 7 6 5 4 3 2 1 - -2 3 -4 -5 - -7 Solve the system: y = ax + ba + c y = px + 9 The solution(s) are: Enter your answers as ordered pairs (x,y). If no
How Question:solve the system X 1 1 8 1 0 1 5 9 1 2 X 3
1-8 Consider the system of equations given by: x = ( 5 -1 -4 . a. Find a fundamental matrix for the system. X40 X(t) = b. Find the matrix exponential, y(t) = At, of the system. (t) = c. Solve the initial value problem with a(0) = 7 using the matrix exponential found in Part b. x(t) =
9+ 5 8 7 4 h(x) 6 3 y-values 5+ y-values 4 N 8(x) 3 2 1 3 2 X-values Ou 2 3 x-values If f(x) g() then h(x)' f'(4) = -13/2 Preview Get help: Video
1. Consider the following system of linear equations: (8 marks) x+y = 3 7 7 2 -x+z=2 y-w=1 W = 4 z + w = 4 1) Use Gauss-Jordan elimination to put the augmented matrix corresponding to this system into reduced row echelon form. Clearly show all the elementary row operations applied. (3 marks) 12 nn
Number in Family
4
4
5
2
8
3
4
6
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3
7
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Draw the graph of f(x) = 52-2 No + 9 8 7 6 5 4 3 2 1 5 6 7 8 9
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