Eigenspace - Linear Algebra - Solved Exam, Exams of Linear Algebra

This is the Solved Exam of Linear Algebra which includes Empty, Unique Solution, Contains, Equation, Solution, Calculations, Possible, Solution, Set, Three Vectors etc. Key important points are: Eigenspace, Basis, Row Equivalent, Eigenvalue, Polynomials, Continuation, Reference, Necessary and Sufficient, Vector, Non Zero Vector

Typology: Exams

2012/2013

Uploaded on 02/27/2013

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Math 205B Exam 02 page 1 03/19/2010 Name 3958 ie 10 20/0 -37 4/7 17 Pi ie el : ; 01-1 ofo -3/7 -1/7' 5/7 Lt A=}5 9 4 1 [steer lAl Me) isrowequmaleto| 9 9 9 ilo aft -1/7 -2/7 |' ia 0 9 00 0 :0)1 eae s Let R= rref(A). 1A. Find a basis for Col(A). reel (A) indicate Hod clinas 1,2, 14 A ae pith cola £ oe tofon ero ! i. zl, 2 1B. Find a basis for Col(R). He pit amor JR bum a boas ak Hy me Esa) as 1,% 4. » (BE 1€. Is 0 an eigenvalue of A? If so, find a basis for the eigenspace of 0, if 0 is not an eigenvalue, explain why not. (You do not need to find any polynomials in this problem!) , Oo fin aigpnieln fA Lo Pees ) 0 slaty [ie = © i jor tviak solturrs Git b irefl#) ae x fi foes _ See 79 & s eS as) o eee be br His ayensphce. 6 i [sue the Mid gaceg @)