CS 525 - Spring 2008 - Homework 2∗assigned 1/30/08 - due 2/8/08The data for questions 1 and 2 can be loaded from hwk2.mat using thecommand load hwk2. Hand in an annotated diary file, as outlined in theMATLAB Setup handout. Your diary should contain a record of your sessionand should look something like the following (but without the first line): diary hwk2.lastname.firstname load hwk2 who . . . . . . diary offBe sure to write out the solution explicitly. For example, if you are askedfor B−1, extract this matrix from the tableau, perform any necessary row andcolumn permutations, and annotate your file clearly to indicate this matrix.1. LetA =1 2 3 43 1 3 01 −3 −3 −8.Using ljx.m, find out how many linearly independent rows A has. Byworking with A0, find out how many linearly independent columns ithas. If there are linear dependencies, write them out explicitly.∗Must be submitted in class on the due date. No late homework accepted.2. Consider the following two matrices:E =2 0 11 2 0.50 1 0, F =1 0 1 42 1 1 41 1 0 44 6 4 4.Use ljx.m to find the inverse of each matrix, if it exists. If the matrixis singular, show the linear dependence between the rows.3. Do Exercise 2-3-5 (by
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