LINEAR ALGEBRA- MATLAB

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5. Suppose you wish to determine whether 2.5 -18.3| -69.5 4.8 52.8,-65.1 43.2 is in the span of 34.9 (a) With this goal in mind, use rref on an appropriate matrix. (b) Is the given vector in the span of the other two? Explain how your computation justifies your (c) * Are the three vectors above linearly independent or linearly dependent? Justify your answer Suppose you wish to show that [ (a) First declare a and b as symbolic variables answer is in the span of for any a and b. (b) Enter a matrix A which can help you show this and use rref on it (c) Explicitly give the weights wi and u'z such that given in terms of a and b.) In the project, you will see questions marked with a x. These require you to type an answer that is not just. a MATLAB command. Type your answer after a % Rules for working in groups: You can work in groups of 1, 2, or 3 with anyone in the course who has the same TA and instructor as you. List all members of your group at the beginning of your project Everyone in a group must type up the project individually, and hand it in to the TA. You can't learn MATLAB without typing. You should work side-by-side, either in a computer lab or working on your own laptops. One project from a group will be graded and everyone in the group will get that grade But first: Before you begin the project, go through "Justin's Guide" and type along in MATLAB as you read. That should be enough to get you through this project. Don't turn in anything from what you did in ".Justin's Guide". To start fresh, you can enter the command clc to clear the command window, and you can enter clear to clear out all variables that you have stored Format: The command format rat will cause your numerical output to appear as fractions. You might find that convenient or necessary at times. The command format short changes back to the decimal format. The command format long produces decimal output with more decimal places. Sometimes, certain problems will insist that you use certain formats. The project problems begin on the next page 5. Suppose you wish to determine whether 2.5 -18.3| -69.5 4.8 52.8,-65.1 43.2 is in the span of 34.9 (a) With this goal in mind, use rref on an appropriate matrix. (b) Is the given vector in the span of the other two? Explain how your computation justifies your (c) * Are the three vectors above linearly independent or linearly dependent? Justify your answer Suppose you wish to show that [ (a) First declare a and b as symbolic variables answer is in the span of for any a and b. (b) Enter a matrix A which can help you show this and use rref on it (c) Explicitly give the weights wi and u'z such that given in terms of a and b.) In the project, you will see questions marked with a x. These require you to type an answer that is not just. a MATLAB command. Type your answer after a % Rules for working in groups: You can work in groups of 1, 2, or 3 with anyone in the course who has the same TA and instructor as you. List all members of your group at the beginning of your project Everyone in a group must type up the project individually, and hand it in to the TA. You can't learn MATLAB without typing. You should work side-by-side, either in a computer lab or working on your own laptops. One project from a group will be graded and everyone in the group will get that grade But first: Before you begin the project, go through "Justin's Guide" and type along in MATLAB as you read. That should be enough to get you through this project. Don't turn in anything from what you did in ".Justin's Guide". To start fresh, you can enter the command clc to clear the command window, and you can enter clear to clear out all variables that you have stored Format: The command format rat will cause your numerical output to appear as fractions. You might find that convenient or necessary at times. The command format short changes back to the decimal format. The command format long produces decimal output with more decimal places. Sometimes, certain problems will insist that you use certain formats. The project problems begin on the next page