×
Get Full Access to Linear Algebra With Applications - 8 Edition - Chapter 4 - Problem 8
Get Full Access to Linear Algebra With Applications - 8 Edition - Chapter 4 - Problem 8

×

# Determine which of the following subsets of M 22 form subspaces. (a) The subset having ISBN: 9781449679545 435

## Solution for problem 8 Chapter 4

Linear Algebra with Applications | 8th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Linear Algebra with Applications | 8th Edition

4 5 1 415 Reviews
27
2
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.

Step-by-Step Solution:
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

Step 2 of 3

Step 3 of 3

##### ISBN: 9781449679545

Unlock Textbook Solution