2 a) Consider the following linear system of equations: ax + y + z = 6,...

 

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2 a) Consider the following linear system of equations: ax + y + z = 6, x-By+32= 14, -x+y-az=ẞ, where a and ẞ are real parameters. (i) (ii) Write MATLAB script which yields the solution if a = 1 and B = -2. Write MATLAB script which indicates all solutions of the system if a = -1 and B = 6. Please show all the possible solutions for the given problem. (Name of the script: FA1Q2a.m) b) Find a fourth degree polynomial that passes through (-1,5), (5,2), (8,5), (11,10) and (14,5). Hence, plot the polynomial together with all given 5 points and label completely. (Name of the script: FA1Q2b.m) (10 marks) 2 a) Consider the following linear system of equations: ax + y + z = 6, x-By+32= 14, -x+y-az=ẞ, where a and ẞ are real parameters. (i) (ii) Write MATLAB script which yields the solution if a = 1 and B = -2. Write MATLAB script which indicates all solutions of the system if a = -1 and B = 6. Please show all the possible solutions for the given problem. (Name of the script: FA1Q2a.m) b) Find a fourth degree polynomial that passes through (-1,5), (5,2), (8,5), (11,10) and (14,5). Hence, plot the polynomial together with all given 5 points and label completely. (Name of the script: FA1Q2b.m) (10 marks) 2 a) Consider the following linear system of equations: ax + y + z = 6, x-By+32= 14, -x+y-az=ẞ, where a and ẞ are real parameters. (i) (ii) Write MATLAB script which yields the solution if a = 1 and B = -2. Write MATLAB script which indicates all solutions of the system if a = -1 and B = 6. Please show all the possible solutions for the given problem. (Name of the script: FA1Q2a.m) b) Find a fourth degree polynomial that passes through (-1,5), (5,2), (8,5), (11,10) and (14,5). Hence, plot the polynomial together with all given 5 points and label completely. (Name of the script: FA1Q2b.m) (10 marks) 2 a) Consider the following linear system of equations: ax + y + z = 6, x-By+32= 14, -x+y-az=ẞ, where a and ẞ are real parameters. (i) (ii) Write MATLAB script which yields the solution if a = 1 and B = -2. Write MATLAB script which indicates all solutions of the system if a = -1 and B = 6. Please show all the possible solutions for the given problem. (Name of the script: FA1Q2a.m) b) Find a fourth degree polynomial that passes through (-1,5), (5,2), (8,5), (11,10) and (14,5). Hence, plot the polynomial together with all given 5 points and label completely. (Name of the script: FA1Q2b.m) (10 marks)

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Here are the MATLAB scripts for both parts a and b a MATLAB script for part i when a1 and B2 FA1Q2am ... View the full answer