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LTE alll 79%. 5:42 PM 3 -3 2 A12 -9 4 6-3 -1 (i) The characteristic polynomial of A is 22+15 (x Press the Submit Answers button before attempting part (ii). The blanks for entering answers to (ii) and (ii) will appear only if your answers to previous parts were correct. In that case, please ignore the message stating that some of your answers were incorrect! (ii) The distinct eigenvalues of A are with an algebraic multiplicty of and a geometric multiplicty of with an algebraic multiplicty of and a geometric multiplicty of Press the Submit Answers button before attempting part (iii) (ii) The eigenspaces of A are (Youll have to solve parts (i) and (ii) correctly before you can attempt part (ii) Note: In order to get credit for this problem all answer:s must be correct

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Solutiou 3 3 2 12 9 2 12-3- -う J- 12) 3( 12) ナ12 36 。bor neing en valu, the clharama 3 ) So frou above -3,-3 d 3,-3. 6

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