Answer question with working out of MATLAB, thank you Enter exactly the MATLAB commands: clear all A

Answer question with working out of MATLAB, thank you

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Enter exactly the MATLAB commands: clear all A = gallery('poisson',23); (a) [2 marks] What are the values of the first 3 elements in the second row of A? Enter your answer as a MATLAB vector in the correct order. (Note: Unfortunately the preview button does not work for input in MATLAB syntax.) (b) [1 mark] Is A symmetric? Yes No (c) [3 marks] Create a spy plot of the non-zero elements of the matrix A. (i) What is the upper and lower bandwidth of A? Lower = Number Upper = Number (ii) What is the sparsity of A as a percentage? Number % (Hint: Give your answer to at least 2 significant figures.) (d) [1 mark] Give an estimate of the 1-norm condition number of A. K₁(A) = Number (Hint: Give your answer to at least 4 significant figures.) (e) [3 marks] A is known exactly and the relative error in b is 2.0 × 10-¹. (i) Define the variable reb to have value 2.0 x 10-¹. Give any MATLAB command(s) you used. (ii) Estimate the relative error in a computed solution to A = b. Number (Hint: Give your answer to at least 2 significant figures.) Enter exactly the MATLAB commands: clear all A = gallery('poisson',23); (a) [2 marks] What are the values of the first 3 elements in the second row of A? Enter your answer as a MATLAB vector in the correct order. (Note: Unfortunately the preview button does not work for input in MATLAB syntax.) (b) [1 mark] Is A symmetric? Yes No (c) [3 marks] Create a spy plot of the non-zero elements of the matrix A. (i) What is the upper and lower bandwidth of A? Lower = Number Upper = Number (ii) What is the sparsity of A as a percentage? Number % (Hint: Give your answer to at least 2 significant figures.) (d) [1 mark] Give an estimate of the 1-norm condition number of A. K₁(A) = Number (Hint: Give your answer to at least 4 significant figures.) (e) [3 marks] A is known exactly and the relative error in b is 2.0 × 10-¹. (i) Define the variable reb to have value 2.0 x 10-¹. Give any MATLAB command(s) you used. (ii) Estimate the relative error in a computed solution to A = b. Number (Hint: Give your answer to at least 2 significant figures.)

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To answer these questions we need to carry out several operations in MATLAB Heres how each step would be done a To get the first three elements in the ... View the full answer