(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all real matrices,X, of the form

[x 0]

[y z]

such that X^{2}+3X+2I=0

(I is the identity matrix)

2. Relevant equations

3. The attempt at a solution

The only method I know is to work out X^{2}and then 3X, add to 2I, then equate the corresponding entries with the zero matrix. Have 3 equations with three unknowns and solve. But is there any other method in which I can use to shorten the amount of writing I will have to do?

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# Homework Help: Alternative method to the matrix problem?

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