Mathematica plaintext output
- To: mathgroup at smc.vnet.net
- Subject: [mg107368] Mathematica plaintext output
- From: nevjernik <hajde.da at mijenjamo.planetu>
- Date: Thu, 11 Feb 2010 05:16:38 -0500 (EST)
Maybe this is trivial one, but I don't know how to interpret output of following: In: Eigenvalues[{{1, 2, 3}, {2, 6, 4}, {3, 4, 5}}] Out: {Root[12 + 12 #1 - 12 #1^2 + #1^3 &, 3], Root[12 + 12 #1 - 12 #1^2 + #1^3 &, 2], Root[12 + 12 #1 - 12 #1^2 + #1^3 &, 1]} WolframAlpha gives reasonable solutions: lambda_1 = 4+(6 2^(2/3))/(17+i sqrt(143))^(1/3)+(2 (17+i sqrt(143)))^(1/3) lambda_2 = 4-(3 2^(2/3) (1-i sqrt(3)))/(17+i sqrt(143))^(1/3)-((1+i sqrt(3)) (17+i sqrt(143))^(1/3))/2^(2/3) lambda_3 = 4-(3 2^(2/3) (1+i sqrt(3)))/(17+i sqrt(143))^(1/3)-((1-i sqrt(3)) (17+i sqrt(143))^(1/3))/2^(2/3) And below that, there is "mathematica plaintext output": {Root[12 + 12 #1 - 12 #1^2 + #1^3 & , 3, 0], Root[12 + 12 #1 - 12 #1^2 + #1^3 & , 2, 0], Root[12 + 12 #1 - 12 #1^2 + #1^3 & , 1, 0]} Ok, it is obviously some plaintext output of result, but how one can deal with it in mathematica? Thanks -- ne vesele mene bez vas utakmice nedjeljom
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