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107hw4

# 107hw4 - MAE 107 Homework 4 Numerical Methods in...

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MAE 107 - Homework # 4 Numerical Methods in Engineering Prof. Alison Marsden Due date: Friday April 29, 2011 Problem 1 - (MATLAB) See the structure of a matrix: Create a 20 × 20 matrix with command A = ones(20) . Now replace the 10 × 10 submatrix between rows 6 : 15 and columns 6 : 15 with zeros. See the structure of the matrix (in terms of nonzero entries with the command spy(A) . Set the 5 × 5 submatrices in the top right corner and bottom left corner to zeros and see the structure again. Problem 2 - (MATLAB) Do some cool operations: Create a 10 × 10 random matrix with the command A = rand(10) . Now do the following operations. Multiply all elements by a 100 and then round oﬀ all elements of the matrix to integers with the command A=ﬁx(A) . Replace all elements of A < 10 with zeros. Replace all elements of A > 90 with inﬁnity ( inf ). Extract all 30 a ij 50 in a vector b , that is, ﬁnd all elements of A that are between 30 and 50 and put them in a vector

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107hw4 - MAE 107 Homework 4 Numerical Methods in...

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