29 мая 2013 г. · You can use the Cayley-Hamilton theorem, which says that the matrix A is a root of the minimal polynomial, which divides the characteristic ...

20 июн. 2015 г. · Find the characteristic polynomial of the matrix · By any chance, is p(x)=x3−4x2−x−32 the correct answer? If so, they may define p(λ)=det(λI−A).

26 мар. 2014 г. · The characteristic polynomial of A′ will be a 3th degree polynomial, which product with (λ−4) equals to a 4th degree polynomial.

4 дек. 2011 г. · The characteristic polynomial is just the product of n linear terms, each one given by (eigenvalue−λ) in the order you are using.

12 окт. 2018 г. · Let's start off by looking at the characteristic polynomial of the 2×2 matrix. A=[01−a−b]: det(A−λI)=det([−λ1−a−b−λ])=λ2+bλ+a;.

26 апр. 2017 г. · Divide the third row by 2, swap columns 1 and 2 and multiply the third column by 2, you get det(M−tI)=−det[31−t031−t121202−t40261−t]=−det[ABCD],.

20 янв. 2017 г. · The best, and very short way: First step. Subtract to the rows 2, 3 and 4, the first one. Second step. Add to the first column the sum of the columns 2, 3 and ...

3 июн. 2012 г. · The trace is n. The eigenvalue 0 has multiplicity n−1. From this we can write down the characteristic polynomial without any computation.

11 апр. 2017 г. · The characteristic polynomial is: p(λ)= | −1−λ 1 1 1 −1−λ 1 1 1 −1−λ | Notice that if you put λ=−2 in the polynomial you get a root.

31 мар. 2016 г. · The easy and quick way to compute the characteristic equation of 3x3 matrix is to use the formulae x3−tr(A)x2+(A11+A22+A33)x−det(A)=0.