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Diagonalization - Linear Algebra - Quiz Solution, Exercises of Linear Algebra

This is the Quiz Solution of Linear Algebra. Mainly includes points are Explicit Conditionsm, Expansion Across, Equilibrium Prices, Equation, Elementary, Elementary Row etc. Key important points of tags are: Diagonalization, Eigenvalues, Represent, Matrices, Useful, Row Equivalent, Respectively, Including, Eigenvectors, Final Matrix

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

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Math 2054 Quiz 08 page uf 2) November 21, 2008 NAME suyaied Salas 6 O01 1. Let A= | —2 4 —1 |; then A is diagonalizable and has only two eigenvalues, 4 and 5. Find —2 0 3 matrices P and D which represent a diagonalization of A. Even though only one of them is used in the diagonalization, find both P-! and D7}. 2 6. 41 10 1/2 You may find it useful that | —2 0 —1 | is row equivalent to | 0 0 O |, and —2 0 -1 oo 0 aQetL 1 0 1 0 1 1 | is row equivalent to | -2 -1 -1 00 0 —2 0 -2 Show all your work. (ob fd A. seen A-Ar thine vee 6-4 ° ! “2 Ga [ooo ded: BoA = 4-4Y -1/=1-2 0 - elo o o ae o 3-4 ZO st 000 os e “4 = the hi of AWE =8 one [ts “| e| the. x, Px, au free oO 1 adage h das — sintldy , «baw tr he wl gin g ASE a ff" shed fre variations om a Hs aocwter, Sice D ont Ungere at teiha ax # haces abate, mer ti He arden i chal. we, unite He 2 vedere & A=4 uhen maby Pe sox. One Answer: Hs : ait oO te, -| Zz t 4 eo ph o 6 P=||1 Oo ! Pos L162 D= ; y 7 pis : My 6 Oo 1 | “to -) eo 5 os le