hw2 (1).pdf - MAT 167 Homework Assignment#2(due Friday...

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MAT 167: Homework Assignment #2 (due Friday, July 12, 2019) First of all, do the following: • Read Chapter 2, Sec. 3.3, 3.6, and Chapter 4. • Given the prerequisites for this class (MAT 22A or 67) and the material outlined in the course syllabus, the following concepts are important for you to understand. We have discussed these concepts in my review lectures, but if your memory is still vague on these subjects, review them yourself now! Solving linear systems LU decomposition Equivalences of non-singular matrices Rank and span Kernel, domain, range Linear combinations Basis vectors, change of basis Column space and row space Orthogonal vectors, Gram-Schmidt orthogonalization Dot product and outer product Eigenvalues, eigenvectors, diagonalization Problem 1. (a) Define the following matrix A = 1 2 0 2 1 3 , in MATLAB. Then, compute the 2-norm by the norm function, and report the result in a long format (16 digits) via >> format long >> norm(A) (b) Compute the 2-norm explicitly using the largest eigenvalue of A t A
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