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February 1st, 2018, 06:03 AM  #1 
Newbie Joined: Dec 2017 From: Cosenza Italy Posts: 5 Thanks: 0  Exercise Rank parametric matrix
Hello, I have this matrix of which I have to calculate its rank as the parameter changes. A = ((k,2,2k,0),(2,1,k1,k),(3k,3,2,k)) RgA is at most 3 so consider the Submatrix ((k,2,0),(2,1,k),(3k,3,k)) And I find that the Det. isn't zero for k other than 1 and 0. Only when I see what happens for k = 0 I see that the matrix has rank 3. On the book in the solution considers only k equal or different from 1. Maybe I was wrong to calculate the Det. Change Submatrix But it's the same thing. Where am I wrong?. Thank you Excuse me for my bad english. Last edited by JackPirri; February 1st, 2018 at 06:08 AM. 

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