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Determine which of the following subsets of M 22 form subspaces. (a) The subset having

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams ISBN: 9781449679545 435

Solution for problem 8 Chapter 4

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Linear Algebra with Applications | 8th Edition

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Problem 8

Determine which of the following subsets of M 22 form subspaces. (a) The subset having diagonal elements nonzero. (b) The subset of matrices whose ( 1, 2) element is 0. (For example [ ] would be such a matrix.) ( c) The subset of matrices of the form [ a b ] . -b c (d) The subset of 2 X 2 matrices whose determinants are zero.

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Step 1 of 3

Week1:UnitCircle Sunday,August27,2017 3:50PM EquationtoFindEveryCoordinateontheUnitCircle: ! +% = 1 TerminalPoint ► Ifdistance(t)ispositivemarkoffthedistancealongtheunitcirclestartingat point(1,0)andmoveinacounterclockwisedirection.If(t)isnegativemovea distanceof|t|(absolutevalueoft)inaclockwisedirection.Anendpoint obtainedinthismanneriscalledtheterminalpoint. Question:Findthecoordinatesthatcorrespondtotheterminalp⎯⎯tt= * SolutionbyUsing:! + % = 1 ! = % Becausethispointcutstheunitcircleintwoequalpartsx=y ! +! = 1 xandyhavethesamevalue,xcansubstitutey 2! = 1 " 1

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Chapter 4, Problem 8 is Solved
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Textbook: Linear Algebra with Applications
Edition: 8
Author: Gareth Williams
ISBN: 9781449679545

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Determine which of the following subsets of M 22 form subspaces. (a) The subset having